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Simplifying 4(2 + -1y) + 3y = 3(y + -4) (2 * 4 + -1y * 4) + 3y = 3(y + -4) (8 + -4y) + 3y = 3(y + -4) Combine like terms: -4y + 3y = -1y 8 + -1y = 3(y + -4) Reorder the terms: 8 + -1y = 3(-4 + y) 8 + -1y = (-4 * 3 + y * 3) 8 + -1y = (-12 + 3y) Solving 8 + -1y = -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 + -1y + -3y = -12 + 3y + -3y Combine like terms: -1y + -3y = -4y 8 + -4y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -4y = -12 + 0 8 + -4y = -12 Add '-8' to each side of the equation. 8 + -8 + -4y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = -12 + -8 -4y = -12 + -8 Combine like terms: -12 + -8 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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