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Simplifying -5(4y + -4) + 9y = 7(y + 5) Reorder the terms: -5(-4 + 4y) + 9y = 7(y + 5) (-4 * -5 + 4y * -5) + 9y = 7(y + 5) (20 + -20y) + 9y = 7(y + 5) Combine like terms: -20y + 9y = -11y 20 + -11y = 7(y + 5) Reorder the terms: 20 + -11y = 7(5 + y) 20 + -11y = (5 * 7 + y * 7) 20 + -11y = (35 + 7y) Solving 20 + -11y = 35 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 20 + -11y + -7y = 35 + 7y + -7y Combine like terms: -11y + -7y = -18y 20 + -18y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 20 + -18y = 35 + 0 20 + -18y = 35 Add '-20' to each side of the equation. 20 + -20 + -18y = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -18y = 35 + -20 -18y = 35 + -20 Combine like terms: 35 + -20 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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