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Simplifying 4(3y + -9) + 9(4 + -1y) = 10 + 4y + -12 Reorder the terms: 4(-9 + 3y) + 9(4 + -1y) = 10 + 4y + -12 (-9 * 4 + 3y * 4) + 9(4 + -1y) = 10 + 4y + -12 (-36 + 12y) + 9(4 + -1y) = 10 + 4y + -12 -36 + 12y + (4 * 9 + -1y * 9) = 10 + 4y + -12 -36 + 12y + (36 + -9y) = 10 + 4y + -12 Reorder the terms: -36 + 36 + 12y + -9y = 10 + 4y + -12 Combine like terms: -36 + 36 = 0 0 + 12y + -9y = 10 + 4y + -12 12y + -9y = 10 + 4y + -12 Combine like terms: 12y + -9y = 3y 3y = 10 + 4y + -12 Reorder the terms: 3y = 10 + -12 + 4y Combine like terms: 10 + -12 = -2 3y = -2 + 4y Solving 3y = -2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3y + -4y = -2 + 4y + -4y Combine like terms: 3y + -4y = -1y -1y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 -1y = -2 + 0 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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