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Simplifying (3y + 1) = -5(y + -1) + -140 Reorder the terms: (1 + 3y) = -5(y + -1) + -140 Remove parenthesis around (1 + 3y) 1 + 3y = -5(y + -1) + -140 Reorder the terms: 1 + 3y = -5(-1 + y) + -140 1 + 3y = (-1 * -5 + y * -5) + -140 1 + 3y = (5 + -5y) + -140 Reorder the terms: 1 + 3y = 5 + -140 + -5y Combine like terms: 5 + -140 = -135 1 + 3y = -135 + -5y Solving 1 + 3y = -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. 1 + 3y + 5y = -135 + -5y + 5y Combine like terms: 3y + 5y = 8y 1 + 8y = -135 + -5y + 5y Combine like terms: -5y + 5y = 0 1 + 8y = -135 + 0 1 + 8y = -135 Add '-1' to each side of the equation. 1 + -1 + 8y = -135 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = -135 + -1 8y = -135 + -1 Combine like terms: -135 + -1 = -136 8y = -136 Divide each side by '8'. y = -17 Simplifying y = -17
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