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Simplifying 12 + -1(3y + -2) = 2(y + -1) + 3y Reorder the terms: 12 + -1(-2 + 3y) = 2(y + -1) + 3y 12 + (-2 * -1 + 3y * -1) = 2(y + -1) + 3y 12 + (2 + -3y) = 2(y + -1) + 3y Combine like terms: 12 + 2 = 14 14 + -3y = 2(y + -1) + 3y Reorder the terms: 14 + -3y = 2(-1 + y) + 3y 14 + -3y = (-1 * 2 + y * 2) + 3y 14 + -3y = (-2 + 2y) + 3y Combine like terms: 2y + 3y = 5y 14 + -3y = -2 + 5y Solving 14 + -3y = -2 + 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. 14 + -3y + -5y = -2 + 5y + -5y Combine like terms: -3y + -5y = -8y 14 + -8y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -8y = -2 + 0 14 + -8y = -2 Add '-14' to each side of the equation. 14 + -14 + -8y = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -8y = -2 + -14 -8y = -2 + -14 Combine like terms: -2 + -14 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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