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Simplifying -3(5y + -10) + 2(2y + 7) = 0 Reorder the terms: -3(-10 + 5y) + 2(2y + 7) = 0 (-10 * -3 + 5y * -3) + 2(2y + 7) = 0 (30 + -15y) + 2(2y + 7) = 0 Reorder the terms: 30 + -15y + 2(7 + 2y) = 0 30 + -15y + (7 * 2 + 2y * 2) = 0 30 + -15y + (14 + 4y) = 0 Reorder the terms: 30 + 14 + -15y + 4y = 0 Combine like terms: 30 + 14 = 44 44 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 44 + -11y = 0 Solving 44 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -11y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -11y = 0 + -44 -11y = 0 + -44 Combine like terms: 0 + -44 = -44 -11y = -44 Divide each side by '-11'. y = 4 Simplifying y = 4
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