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Simplifying -4(2 + y) + 3y = 3(y + 4) (2 * -4 + y * -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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