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Simplifying -4(4y + -10) + 3(3y + 10) = 0 Reorder the terms: -4(-10 + 4y) + 3(3y + 10) = 0 (-10 * -4 + 4y * -4) + 3(3y + 10) = 0 (40 + -16y) + 3(3y + 10) = 0 Reorder the terms: 40 + -16y + 3(10 + 3y) = 0 40 + -16y + (10 * 3 + 3y * 3) = 0 40 + -16y + (30 + 9y) = 0 Reorder the terms: 40 + 30 + -16y + 9y = 0 Combine like terms: 40 + 30 = 70 70 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 70 + -7y = 0 Solving 70 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -7y = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -7y = 0 + -70 -7y = 0 + -70 Combine like terms: 0 + -70 = -70 -7y = -70 Divide each side by '-7'. y = 10 Simplifying y = 10
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