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Simplifying -4(2 + -1y) + y = 3(y + -4) (2 * -4 + -1y * -4) + y = 3(y + -4) (-8 + 4y) + y = 3(y + -4) Combine like terms: 4y + y = 5y -8 + 5y = 3(y + -4) Reorder the terms: -8 + 5y = 3(-4 + y) -8 + 5y = (-4 * 3 + y * 3) -8 + 5y = (-12 + 3y) Solving -8 + 5y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 5y + -3y = -12 + 3y + -3y Combine like terms: 5y + -3y = 2y -8 + 2y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 2y = -12 + 0 -8 + 2y = -12 Add '8' to each side of the equation. -8 + 8 + 2y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = -12 + 8 2y = -12 + 8 Combine like terms: -12 + 8 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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