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Evaluate the expression for y=16y = 16. Simplify your answer.\newliney−166=y - \frac{16}{6} = _____

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Q. Evaluate the expression for y=16y = 16. Simplify your answer.\newliney−166=y - \frac{16}{6} = _____
  1. Substitute yy value: Substitute the value of yy into the expression.\newlineSubstitute 1616 for yy in y−166y − \frac{16}{6}.\newlineExpression: 16−16616 − \frac{16}{6}
  2. Simplify fraction: Simplify the fraction 166\frac{16}{6}.\newlineDivide 1616 by 66.\newline166=83\frac{16}{6} = \frac{8}{3} (since 16=8×216 = 8 \times 2 and 6=3×26 = 3 \times 2, we can simplify the fraction by dividing both numerator and denominator by 22).
  3. Subtract fraction from yy: Subtract the simplified fraction from yy.\newlineSubtract 83\frac{8}{3} from 1616.\newlineTo subtract a fraction from a whole number, convert the whole number to a fraction with the same denominator.\newline16=161=16×31×3=48316 = \frac{16}{1} = \frac{16 \times 3}{1 \times 3} = \frac{48}{3}\newlineNow subtract: 483−83=48−83=403\frac{48}{3} - \frac{8}{3} = \frac{48 - 8}{3} = \frac{40}{3}

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