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Simplifying -2(9y + -9) + 7y = 5(y + 4) Reorder the terms: -2(-9 + 9y) + 7y = 5(y + 4) (-9 * -2 + 9y * -2) + 7y = 5(y + 4) (18 + -18y) + 7y = 5(y + 4) Combine like terms: -18y + 7y = -11y 18 + -11y = 5(y + 4) Reorder the terms: 18 + -11y = 5(4 + y) 18 + -11y = (4 * 5 + y * 5) 18 + -11y = (20 + 5y) Solving 18 + -11y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + -11y + -5y = 20 + 5y + -5y Combine like terms: -11y + -5y = -16y 18 + -16y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -16y = 20 + 0 18 + -16y = 20 Add '-18' to each side of the equation. 18 + -18 + -16y = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -16y = 20 + -18 -16y = 20 + -18 Combine like terms: 20 + -18 = 2 -16y = 2 Divide each side by '-16'. y = -0.125 Simplifying y = -0.125
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