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Simplifying -31 + -1(2y + -1) = 3(y + -1) + 4y Reorder the terms: -31 + -1(-1 + 2y) = 3(y + -1) + 4y -31 + (-1 * -1 + 2y * -1) = 3(y + -1) + 4y -31 + (1 + -2y) = 3(y + -1) + 4y Combine like terms: -31 + 1 = -30 -30 + -2y = 3(y + -1) + 4y Reorder the terms: -30 + -2y = 3(-1 + y) + 4y -30 + -2y = (-1 * 3 + y * 3) + 4y -30 + -2y = (-3 + 3y) + 4y Combine like terms: 3y + 4y = 7y -30 + -2y = -3 + 7y Solving -30 + -2y = -3 + 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. -30 + -2y + -7y = -3 + 7y + -7y Combine like terms: -2y + -7y = -9y -30 + -9y = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 -30 + -9y = -3 + 0 -30 + -9y = -3 Add '30' to each side of the equation. -30 + 30 + -9y = -3 + 30 Combine like terms: -30 + 30 = 0 0 + -9y = -3 + 30 -9y = -3 + 30 Combine like terms: -3 + 30 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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