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Simplifying (y + 1) + -1(y + -9) = 2(5x + -6) + -8y Reorder the terms: (1 + y) + -1(y + -9) = 2(5x + -6) + -8y Remove parenthesis around (1 + y) 1 + y + -1(y + -9) = 2(5x + -6) + -8y Reorder the terms: 1 + y + -1(-9 + y) = 2(5x + -6) + -8y 1 + y + (-9 * -1 + y * -1) = 2(5x + -6) + -8y 1 + y + (9 + -1y) = 2(5x + -6) + -8y Reorder the terms: 1 + 9 + y + -1y = 2(5x + -6) + -8y Combine like terms: 1 + 9 = 10 10 + y + -1y = 2(5x + -6) + -8y Combine like terms: y + -1y = 0 10 + 0 = 2(5x + -6) + -8y 10 = 2(5x + -6) + -8y Reorder the terms: 10 = 2(-6 + 5x) + -8y 10 = (-6 * 2 + 5x * 2) + -8y 10 = (-12 + 10x) + -8y Solving 10 = -12 + 10x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + -10x = -12 + 10x + -10x + -8y Combine like terms: 10x + -10x = 0 10 + -10x = -12 + 0 + -8y 10 + -10x = -12 + -8y Add '-10' to each side of the equation. 10 + -10 + -10x = -12 + -10 + -8y Combine like terms: 10 + -10 = 0 0 + -10x = -12 + -10 + -8y -10x = -12 + -10 + -8y Combine like terms: -12 + -10 = -22 -10x = -22 + -8y Divide each side by '-10'. x = 2.2 + 0.8y Simplifying x = 2.2 + 0.8y
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