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Simplifying -2(3y + -4) + -1y = 2(y + -5) Reorder the terms: -2(-4 + 3y) + -1y = 2(y + -5) (-4 * -2 + 3y * -2) + -1y = 2(y + -5) (8 + -6y) + -1y = 2(y + -5) Combine like terms: -6y + -1y = -7y 8 + -7y = 2(y + -5) Reorder the terms: 8 + -7y = 2(-5 + y) 8 + -7y = (-5 * 2 + y * 2) 8 + -7y = (-10 + 2y) Solving 8 + -7y = -10 + 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. 8 + -7y + -2y = -10 + 2y + -2y Combine like terms: -7y + -2y = -9y 8 + -9y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -9y = -10 + 0 8 + -9y = -10 Add '-8' to each side of the equation. 8 + -8 + -9y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = -10 + -8 -9y = -10 + -8 Combine like terms: -10 + -8 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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