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Simplifying -4(4y + -7) + 3(3y + 10) = 0 Reorder the terms: -4(-7 + 4y) + 3(3y + 10) = 0 (-7 * -4 + 4y * -4) + 3(3y + 10) = 0 (28 + -16y) + 3(3y + 10) = 0 Reorder the terms: 28 + -16y + 3(10 + 3y) = 0 28 + -16y + (10 * 3 + 3y * 3) = 0 28 + -16y + (30 + 9y) = 0 Reorder the terms: 28 + 30 + -16y + 9y = 0 Combine like terms: 28 + 30 = 58 58 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 58 + -7y = 0 Solving 58 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -7y = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -7y = 0 + -58 -7y = 0 + -58 Combine like terms: 0 + -58 = -58 -7y = -58 Divide each side by '-7'. y = 8.285714286 Simplifying y = 8.285714286
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