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Simplifying 3(y + -4) = 2(y + -2) Reorder the terms: 3(-4 + y) = 2(y + -2) (-4 * 3 + y * 3) = 2(y + -2) (-12 + 3y) = 2(y + -2) Reorder the terms: -12 + 3y = 2(-2 + y) -12 + 3y = (-2 * 2 + y * 2) -12 + 3y = (-4 + 2y) Solving -12 + 3y = -4 + 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 = -4 + 2y + -2y Combine like terms: 3y + -2y = 1y -12 + 1y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 1y = -4 + 0 -12 + 1y = -4 Add '12' to each side of the equation. -12 + 12 + 1y = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = -4 + 12 1y = -4 + 12 Combine like terms: -4 + 12 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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