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Simplifying 2(y + -4) + -1(y + 5) = 2y + -2 Reorder the terms: 2(-4 + y) + -1(y + 5) = 2y + -2 (-4 * 2 + y * 2) + -1(y + 5) = 2y + -2 (-8 + 2y) + -1(y + 5) = 2y + -2 Reorder the terms: -8 + 2y + -1(5 + y) = 2y + -2 -8 + 2y + (5 * -1 + y * -1) = 2y + -2 -8 + 2y + (-5 + -1y) = 2y + -2 Reorder the terms: -8 + -5 + 2y + -1y = 2y + -2 Combine like terms: -8 + -5 = -13 -13 + 2y + -1y = 2y + -2 Combine like terms: 2y + -1y = 1y -13 + 1y = 2y + -2 Reorder the terms: -13 + 1y = -2 + 2y Solving -13 + 1y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -13 + 1y + -2y = -2 + 2y + -2y Combine like terms: 1y + -2y = -1y -13 + -1y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 -13 + -1y = -2 + 0 -13 + -1y = -2 Add '13' to each side of the equation. -13 + 13 + -1y = -2 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = -2 + 13 -1y = -2 + 13 Combine like terms: -2 + 13 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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