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Simplifying -3(2y + -8) + -1y = -2(y + -4) Reorder the terms: -3(-8 + 2y) + -1y = -2(y + -4) (-8 * -3 + 2y * -3) + -1y = -2(y + -4) (24 + -6y) + -1y = -2(y + -4) Combine like terms: -6y + -1y = -7y 24 + -7y = -2(y + -4) Reorder the terms: 24 + -7y = -2(-4 + y) 24 + -7y = (-4 * -2 + y * -2) 24 + -7y = (8 + -2y) Solving 24 + -7y = 8 + -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. 24 + -7y + 2y = 8 + -2y + 2y Combine like terms: -7y + 2y = -5y 24 + -5y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + -5y = 8 + 0 24 + -5y = 8 Add '-24' to each side of the equation. 24 + -24 + -5y = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -5y = 8 + -24 -5y = 8 + -24 Combine like terms: 8 + -24 = -16 -5y = -16 Divide each side by '-5'. y = 3.2 Simplifying y = 3.2
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