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Simplifying -5(3y + -8) + 3(2y + 7) = 0 Reorder the terms: -5(-8 + 3y) + 3(2y + 7) = 0 (-8 * -5 + 3y * -5) + 3(2y + 7) = 0 (40 + -15y) + 3(2y + 7) = 0 Reorder the terms: 40 + -15y + 3(7 + 2y) = 0 40 + -15y + (7 * 3 + 2y * 3) = 0 40 + -15y + (21 + 6y) = 0 Reorder the terms: 40 + 21 + -15y + 6y = 0 Combine like terms: 40 + 21 = 61 61 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 61 + -9y = 0 Solving 61 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -9y = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -9y = 0 + -61 -9y = 0 + -61 Combine like terms: 0 + -61 = -61 -9y = -61 Divide each side by '-9'. y = 6.777777778 Simplifying y = 6.777777778
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