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Simplifying -5(3y + -6) + 2(2y + 9) = 0 Reorder the terms: -5(-6 + 3y) + 2(2y + 9) = 0 (-6 * -5 + 3y * -5) + 2(2y + 9) = 0 (30 + -15y) + 2(2y + 9) = 0 Reorder the terms: 30 + -15y + 2(9 + 2y) = 0 30 + -15y + (9 * 2 + 2y * 2) = 0 30 + -15y + (18 + 4y) = 0 Reorder the terms: 30 + 18 + -15y + 4y = 0 Combine like terms: 30 + 18 = 48 48 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 48 + -11y = 0 Solving 48 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -11y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -11y = 0 + -48 -11y = 0 + -48 Combine like terms: 0 + -48 = -48 -11y = -48 Divide each side by '-11'. y = 4.363636364 Simplifying y = 4.363636364
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