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