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Simplifying 3(y + -4) = -2(y + -12) Reorder the terms: 3(-4 + y) = -2(y + -12) (-4 * 3 + y * 3) = -2(y + -12) (-12 + 3y) = -2(y + -12) Reorder the terms: -12 + 3y = -2(-12 + y) -12 + 3y = (-12 * -2 + y * -2) -12 + 3y = (24 + -2y) Solving -12 + 3y = 24 + -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 = 24 + -2y + 2y Combine like terms: 3y + 2y = 5y -12 + 5y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 5y = 24 + 0 -12 + 5y = 24 Add '12' to each side of the equation. -12 + 12 + 5y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 24 + 12 5y = 24 + 12 Combine like terms: 24 + 12 = 36 5y = 36 Divide each side by '5'. y = 7.2 Simplifying y = 7.2
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