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Simplifying 3(4 + y) = 2(y + -6) (4 * 3 + y * 3) = 2(y + -6) (12 + 3y) = 2(y + -6) Reorder the terms: 12 + 3y = 2(-6 + y) 12 + 3y = (-6 * 2 + y * 2) 12 + 3y = (-12 + 2y) Solving 12 + 3y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 3y + -2y = -12 + 2y + -2y Combine like terms: 3y + -2y = 1y 12 + 1y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 1y = -12 + 0 12 + 1y = -12 Add '-12' to each side of the equation. 12 + -12 + 1y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = -12 + -12 1y = -12 + -12 Combine like terms: -12 + -12 = -24 1y = -24 Divide each side by '1'. y = -24 Simplifying y = -24
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