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Simplifying -2(4y + -8) + -1y = -4(y + -4) Reorder the terms: -2(-8 + 4y) + -1y = -4(y + -4) (-8 * -2 + 4y * -2) + -1y = -4(y + -4) (16 + -8y) + -1y = -4(y + -4) Combine like terms: -8y + -1y = -9y 16 + -9y = -4(y + -4) Reorder the terms: 16 + -9y = -4(-4 + y) 16 + -9y = (-4 * -4 + y * -4) 16 + -9y = (16 + -4y) Add '-16' to each side of the equation. 16 + -16 + -9y = 16 + -16 + -4y Combine like terms: 16 + -16 = 0 0 + -9y = 16 + -16 + -4y -9y = 16 + -16 + -4y Combine like terms: 16 + -16 = 0 -9y = 0 + -4y -9y = -4y Solving -9y = -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -9y + 4y = -4y + 4y Combine like terms: -9y + 4y = -5y -5y = -4y + 4y Combine like terms: -4y + 4y = 0 -5y = 0 Divide each side by '-5'. y = 0 Simplifying y = 0
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