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Simplifying 5(3y + 1) = -5(y + -1) + -140 Reorder the terms: 5(1 + 3y) = -5(y + -1) + -140 (1 * 5 + 3y * 5) = -5(y + -1) + -140 (5 + 15y) = -5(y + -1) + -140 Reorder the terms: 5 + 15y = -5(-1 + y) + -140 5 + 15y = (-1 * -5 + y * -5) + -140 5 + 15y = (5 + -5y) + -140 Reorder the terms: 5 + 15y = 5 + -140 + -5y Combine like terms: 5 + -140 = -135 5 + 15y = -135 + -5y Solving 5 + 15y = -135 + -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. 5 + 15y + 5y = -135 + -5y + 5y Combine like terms: 15y + 5y = 20y 5 + 20y = -135 + -5y + 5y Combine like terms: -5y + 5y = 0 5 + 20y = -135 + 0 5 + 20y = -135 Add '-5' to each side of the equation. 5 + -5 + 20y = -135 + -5 Combine like terms: 5 + -5 = 0 0 + 20y = -135 + -5 20y = -135 + -5 Combine like terms: -135 + -5 = -140 20y = -140 Divide each side by '20'. y = -7 Simplifying y = -7
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