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Simplifying -3(y + -1) + 2y = 4(y + -3) Reorder the terms: -3(-1 + y) + 2y = 4(y + -3) (-1 * -3 + y * -3) + 2y = 4(y + -3) (3 + -3y) + 2y = 4(y + -3) Combine like terms: -3y + 2y = -1y 3 + -1y = 4(y + -3) Reorder the terms: 3 + -1y = 4(-3 + y) 3 + -1y = (-3 * 4 + y * 4) 3 + -1y = (-12 + 4y) Solving 3 + -1y = -12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + -1y + -4y = -12 + 4y + -4y Combine like terms: -1y + -4y = -5y 3 + -5y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -5y = -12 + 0 3 + -5y = -12 Add '-3' to each side of the equation. 3 + -3 + -5y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = -12 + -3 -5y = -12 + -3 Combine like terms: -12 + -3 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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