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Simplifying -4(4y + -9) + 2(2y + 7) = 0 Reorder the terms: -4(-9 + 4y) + 2(2y + 7) = 0 (-9 * -4 + 4y * -4) + 2(2y + 7) = 0 (36 + -16y) + 2(2y + 7) = 0 Reorder the terms: 36 + -16y + 2(7 + 2y) = 0 36 + -16y + (7 * 2 + 2y * 2) = 0 36 + -16y + (14 + 4y) = 0 Reorder the terms: 36 + 14 + -16y + 4y = 0 Combine like terms: 36 + 14 = 50 50 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 50 + -12y = 0 Solving 50 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -12y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -12y = 0 + -50 -12y = 0 + -50 Combine like terms: 0 + -50 = -50 -12y = -50 Divide each side by '-12'. y = 4.166666667 Simplifying y = 4.166666667
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