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Simplifying 4(y + 6) + -12 = 3y + -9 Reorder the terms: 4(6 + y) + -12 = 3y + -9 (6 * 4 + y * 4) + -12 = 3y + -9 (24 + 4y) + -12 = 3y + -9 Reorder the terms: 24 + -12 + 4y = 3y + -9 Combine like terms: 24 + -12 = 12 12 + 4y = 3y + -9 Reorder the terms: 12 + 4y = -9 + 3y Solving 12 + 4y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + 4y + -3y = -9 + 3y + -3y Combine like terms: 4y + -3y = 1y 12 + 1y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 1y = -9 + 0 12 + 1y = -9 Add '-12' to each side of the equation. 12 + -12 + 1y = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = -9 + -12 1y = -9 + -12 Combine like terms: -9 + -12 = -21 1y = -21 Divide each side by '1'. y = -21 Simplifying y = -21
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