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Simplifying -4(4y + -9) + 2(2y + 9) = 0 Reorder the terms: -4(-9 + 4y) + 2(2y + 9) = 0 (-9 * -4 + 4y * -4) + 2(2y + 9) = 0 (36 + -16y) + 2(2y + 9) = 0 Reorder the terms: 36 + -16y + 2(9 + 2y) = 0 36 + -16y + (9 * 2 + 2y * 2) = 0 36 + -16y + (18 + 4y) = 0 Reorder the terms: 36 + 18 + -16y + 4y = 0 Combine like terms: 36 + 18 = 54 54 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 54 + -12y = 0 Solving 54 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -12y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -12y = 0 + -54 -12y = 0 + -54 Combine like terms: 0 + -54 = -54 -12y = -54 Divide each side by '-12'. y = 4.5 Simplifying y = 4.5
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