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Simplifying -2(7y + -5) + 5y = 7(y + 4) Reorder the terms: -2(-5 + 7y) + 5y = 7(y + 4) (-5 * -2 + 7y * -2) + 5y = 7(y + 4) (10 + -14y) + 5y = 7(y + 4) Combine like terms: -14y + 5y = -9y 10 + -9y = 7(y + 4) Reorder the terms: 10 + -9y = 7(4 + y) 10 + -9y = (4 * 7 + y * 7) 10 + -9y = (28 + 7y) Solving 10 + -9y = 28 + 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. 10 + -9y + -7y = 28 + 7y + -7y Combine like terms: -9y + -7y = -16y 10 + -16y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 10 + -16y = 28 + 0 10 + -16y = 28 Add '-10' to each side of the equation. 10 + -10 + -16y = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -16y = 28 + -10 -16y = 28 + -10 Combine like terms: 28 + -10 = 18 -16y = 18 Divide each side by '-16'. y = -1.125 Simplifying y = -1.125
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