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Simplifying -2y + 5 = 9(y + -8) Reorder the terms: 5 + -2y = 9(y + -8) Reorder the terms: 5 + -2y = 9(-8 + y) 5 + -2y = (-8 * 9 + y * 9) 5 + -2y = (-72 + 9y) Solving 5 + -2y = -72 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 5 + -2y + -9y = -72 + 9y + -9y Combine like terms: -2y + -9y = -11y 5 + -11y = -72 + 9y + -9y Combine like terms: 9y + -9y = 0 5 + -11y = -72 + 0 5 + -11y = -72 Add '-5' to each side of the equation. 5 + -5 + -11y = -72 + -5 Combine like terms: 5 + -5 = 0 0 + -11y = -72 + -5 -11y = -72 + -5 Combine like terms: -72 + -5 = -77 -11y = -77 Divide each side by '-11'. y = 7 Simplifying y = 7
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