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Simplifying 3(y + -12) + -2(y + -9) = 18 Reorder the terms: 3(-12 + y) + -2(y + -9) = 18 (-12 * 3 + y * 3) + -2(y + -9) = 18 (-36 + 3y) + -2(y + -9) = 18 Reorder the terms: -36 + 3y + -2(-9 + y) = 18 -36 + 3y + (-9 * -2 + y * -2) = 18 -36 + 3y + (18 + -2y) = 18 Reorder the terms: -36 + 18 + 3y + -2y = 18 Combine like terms: -36 + 18 = -18 -18 + 3y + -2y = 18 Combine like terms: 3y + -2y = 1y -18 + 1y = 18 Solving -18 + 1y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1y = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = 18 + 18 1y = 18 + 18 Combine like terms: 18 + 18 = 36 1y = 36 Divide each side by '1'. y = 36 Simplifying y = 36
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