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Simplifying 4(6 + y) = 3(y + -5) (6 * 4 + y * 4) = 3(y + -5) (24 + 4y) = 3(y + -5) Reorder the terms: 24 + 4y = 3(-5 + y) 24 + 4y = (-5 * 3 + y * 3) 24 + 4y = (-15 + 3y) Solving 24 + 4y = -15 + 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. 24 + 4y + -3y = -15 + 3y + -3y Combine like terms: 4y + -3y = 1y 24 + 1y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + 1y = -15 + 0 24 + 1y = -15 Add '-24' to each side of the equation. 24 + -24 + 1y = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = -15 + -24 1y = -15 + -24 Combine like terms: -15 + -24 = -39 1y = -39 Divide each side by '1'. y = -39 Simplifying y = -39
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