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Simplifying (y + 1) + -1(y + -9) = 2(5y + -6) + -8 Reorder the terms: (1 + y) + -1(y + -9) = 2(5y + -6) + -8 Remove parenthesis around (1 + y) 1 + y + -1(y + -9) = 2(5y + -6) + -8 Reorder the terms: 1 + y + -1(-9 + y) = 2(5y + -6) + -8 1 + y + (-9 * -1 + y * -1) = 2(5y + -6) + -8 1 + y + (9 + -1y) = 2(5y + -6) + -8 Reorder the terms: 1 + 9 + y + -1y = 2(5y + -6) + -8 Combine like terms: 1 + 9 = 10 10 + y + -1y = 2(5y + -6) + -8 Combine like terms: y + -1y = 0 10 + 0 = 2(5y + -6) + -8 10 = 2(5y + -6) + -8 Reorder the terms: 10 = 2(-6 + 5y) + -8 10 = (-6 * 2 + 5y * 2) + -8 10 = (-12 + 10y) + -8 Reorder the terms: 10 = -12 + -8 + 10y Combine like terms: -12 + -8 = -20 10 = -20 + 10y Solving 10 = -20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 10 + -10y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 10 + -10y = -20 + 0 10 + -10y = -20 Add '-10' to each side of the equation. 10 + -10 + -10y = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -10y = -20 + -10 -10y = -20 + -10 Combine like terms: -20 + -10 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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