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Simplifying -4(3y + -7) + 2(2y + 9) = 0 Reorder the terms: -4(-7 + 3y) + 2(2y + 9) = 0 (-7 * -4 + 3y * -4) + 2(2y + 9) = 0 (28 + -12y) + 2(2y + 9) = 0 Reorder the terms: 28 + -12y + 2(9 + 2y) = 0 28 + -12y + (9 * 2 + 2y * 2) = 0 28 + -12y + (18 + 4y) = 0 Reorder the terms: 28 + 18 + -12y + 4y = 0 Combine like terms: 28 + 18 = 46 46 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 46 + -8y = 0 Solving 46 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -8y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -8y = 0 + -46 -8y = 0 + -46 Combine like terms: 0 + -46 = -46 -8y = -46 Divide each side by '-8'. y = 5.75 Simplifying y = 5.75
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