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Simplifying 4(y + -9) = 2(y + 12) Reorder the terms: 4(-9 + y) = 2(y + 12) (-9 * 4 + y * 4) = 2(y + 12) (-36 + 4y) = 2(y + 12) Reorder the terms: -36 + 4y = 2(12 + y) -36 + 4y = (12 * 2 + y * 2) -36 + 4y = (24 + 2y) Solving -36 + 4y = 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. -36 + 4y + -2y = 24 + 2y + -2y Combine like terms: 4y + -2y = 2y -36 + 2y = 24 + 2y + -2y Combine like terms: 2y + -2y = 0 -36 + 2y = 24 + 0 -36 + 2y = 24 Add '36' to each side of the equation. -36 + 36 + 2y = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 2y = 24 + 36 2y = 24 + 36 Combine like terms: 24 + 36 = 60 2y = 60 Divide each side by '2'. y = 30 Simplifying y = 30
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