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