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Simplifying -3(y + -4) + y = 2y + -12 Reorder the terms: -3(-4 + y) + y = 2y + -12 (-4 * -3 + y * -3) + y = 2y + -12 (12 + -3y) + y = 2y + -12 Combine like terms: -3y + y = -2y 12 + -2y = 2y + -12 Reorder the terms: 12 + -2y = -12 + 2y Solving 12 + -2y = -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 + -2y + -2y = -12 + 2y + -2y Combine like terms: -2y + -2y = -4y 12 + -4y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -4y = -12 + 0 12 + -4y = -12 Add '-12' to each side of the equation. 12 + -12 + -4y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -12 + -12 -4y = -12 + -12 Combine like terms: -12 + -12 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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