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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) Add '12' to each side of the equation. -12 + 12 + 3y = -12 + 12 + -2y Combine like terms: -12 + 12 = 0 0 + 3y = -12 + 12 + -2y 3y = -12 + 12 + -2y Combine like terms: -12 + 12 = 0 3y = 0 + -2y 3y = -2y Solving 3y = -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. 3y + 2y = -2y + 2y Combine like terms: 3y + 2y = 5y 5y = -2y + 2y Combine like terms: -2y + 2y = 0 5y = 0 Divide each side by '5'. y = 0 Simplifying y = 0
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