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Simplifying -4(5y + -8) + 3(3y + 5) = 0 Reorder the terms: -4(-8 + 5y) + 3(3y + 5) = 0 (-8 * -4 + 5y * -4) + 3(3y + 5) = 0 (32 + -20y) + 3(3y + 5) = 0 Reorder the terms: 32 + -20y + 3(5 + 3y) = 0 32 + -20y + (5 * 3 + 3y * 3) = 0 32 + -20y + (15 + 9y) = 0 Reorder the terms: 32 + 15 + -20y + 9y = 0 Combine like terms: 32 + 15 = 47 47 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 47 + -11y = 0 Solving 47 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -11y = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -11y = 0 + -47 -11y = 0 + -47 Combine like terms: 0 + -47 = -47 -11y = -47 Divide each side by '-11'. y = 4.272727273 Simplifying y = 4.272727273
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