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Simplifying 3(y + -4) = 2(y + 6) Reorder the terms: 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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