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Simplifying 4(5 + -1y) = -8(3 + -1y) (5 * 4 + -1y * 4) = -8(3 + -1y) (20 + -4y) = -8(3 + -1y) 20 + -4y = (3 * -8 + -1y * -8) 20 + -4y = (-24 + 8y) Solving 20 + -4y = -24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 20 + -4y + -8y = -24 + 8y + -8y Combine like terms: -4y + -8y = -12y 20 + -12y = -24 + 8y + -8y Combine like terms: 8y + -8y = 0 20 + -12y = -24 + 0 20 + -12y = -24 Add '-20' to each side of the equation. 20 + -20 + -12y = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -12y = -24 + -20 -12y = -24 + -20 Combine like terms: -24 + -20 = -44 -12y = -44 Divide each side by '-12'. y = 3.666666667 Simplifying y = 3.666666667
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