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Simplifying 4(5y + -1(y + -1)) = 7(y + -2) Reorder the terms: 4(5y + -1(-1 + y)) = 7(y + -2) 4(5y + (-1 * -1 + y * -1)) = 7(y + -2) 4(5y + (1 + -1y)) = 7(y + -2) Reorder the terms: 4(1 + 5y + -1y) = 7(y + -2) Combine like terms: 5y + -1y = 4y 4(1 + 4y) = 7(y + -2) (1 * 4 + 4y * 4) = 7(y + -2) (4 + 16y) = 7(y + -2) Reorder the terms: 4 + 16y = 7(-2 + y) 4 + 16y = (-2 * 7 + y * 7) 4 + 16y = (-14 + 7y) Solving 4 + 16y = -14 + 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. 4 + 16y + -7y = -14 + 7y + -7y Combine like terms: 16y + -7y = 9y 4 + 9y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 4 + 9y = -14 + 0 4 + 9y = -14 Add '-4' to each side of the equation. 4 + -4 + 9y = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 9y = -14 + -4 9y = -14 + -4 Combine like terms: -14 + -4 = -18 9y = -18 Divide each side by '9'. y = -2 Simplifying y = -2
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