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Simplifying -4(5y + -7) + 3(3y + 10) = 0 Reorder the terms: -4(-7 + 5y) + 3(3y + 10) = 0 (-7 * -4 + 5y * -4) + 3(3y + 10) = 0 (28 + -20y) + 3(3y + 10) = 0 Reorder the terms: 28 + -20y + 3(10 + 3y) = 0 28 + -20y + (10 * 3 + 3y * 3) = 0 28 + -20y + (30 + 9y) = 0 Reorder the terms: 28 + 30 + -20y + 9y = 0 Combine like terms: 28 + 30 = 58 58 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 58 + -11y = 0 Solving 58 + -11y = 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 + -11y = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -11y = 0 + -58 -11y = 0 + -58 Combine like terms: 0 + -58 = -58 -11y = -58 Divide each side by '-11'. y = 5.272727273 Simplifying y = 5.272727273
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