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Simplifying -9y + 16 = -6(y + -7) Reorder the terms: 16 + -9y = -6(y + -7) Reorder the terms: 16 + -9y = -6(-7 + y) 16 + -9y = (-7 * -6 + y * -6) 16 + -9y = (42 + -6y) Solving 16 + -9y = 42 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 16 + -9y + 6y = 42 + -6y + 6y Combine like terms: -9y + 6y = -3y 16 + -3y = 42 + -6y + 6y Combine like terms: -6y + 6y = 0 16 + -3y = 42 + 0 16 + -3y = 42 Add '-16' to each side of the equation. 16 + -16 + -3y = 42 + -16 Combine like terms: 16 + -16 = 0 0 + -3y = 42 + -16 -3y = 42 + -16 Combine like terms: 42 + -16 = 26 -3y = 26 Divide each side by '-3'. y = -8.666666667 Simplifying y = -8.666666667
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