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Simplifying 2(5y + -9) + -1(8y + 8) = 0 Reorder the terms: 2(-9 + 5y) + -1(8y + 8) = 0 (-9 * 2 + 5y * 2) + -1(8y + 8) = 0 (-18 + 10y) + -1(8y + 8) = 0 Reorder the terms: -18 + 10y + -1(8 + 8y) = 0 -18 + 10y + (8 * -1 + 8y * -1) = 0 -18 + 10y + (-8 + -8y) = 0 Reorder the terms: -18 + -8 + 10y + -8y = 0 Combine like terms: -18 + -8 = -26 -26 + 10y + -8y = 0 Combine like terms: 10y + -8y = 2y -26 + 2y = 0 Solving -26 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 2y = 0 + 26 2y = 0 + 26 Combine like terms: 0 + 26 = 26 2y = 26 Divide each side by '2'. y = 13 Simplifying y = 13
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