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Simplifying 4(6 + y) = 3(y + -4) (6 * 4 + y * 4) = 3(y + -4) (24 + 4y) = 3(y + -4) Reorder the terms: 24 + 4y = 3(-4 + y) 24 + 4y = (-4 * 3 + y * 3) 24 + 4y = (-12 + 3y) Solving 24 + 4y = -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. 24 + 4y + -3y = -12 + 3y + -3y Combine like terms: 4y + -3y = 1y 24 + 1y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + 1y = -12 + 0 24 + 1y = -12 Add '-24' to each side of the equation. 24 + -24 + 1y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = -12 + -24 1y = -12 + -24 Combine like terms: -12 + -24 = -36 1y = -36 Divide each side by '1'. y = -36 Simplifying y = -36
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