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Simplifying -4y + 4(-2y + -6) = -8 + -9(3 + -1y) Reorder the terms: -4y + 4(-6 + -2y) = -8 + -9(3 + -1y) -4y + (-6 * 4 + -2y * 4) = -8 + -9(3 + -1y) -4y + (-24 + -8y) = -8 + -9(3 + -1y) Reorder the terms: -24 + -4y + -8y = -8 + -9(3 + -1y) Combine like terms: -4y + -8y = -12y -24 + -12y = -8 + -9(3 + -1y) -24 + -12y = -8 + (3 * -9 + -1y * -9) -24 + -12y = -8 + (-27 + 9y) Combine like terms: -8 + -27 = -35 -24 + -12y = -35 + 9y Solving -24 + -12y = -35 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -24 + -12y + -9y = -35 + 9y + -9y Combine like terms: -12y + -9y = -21y -24 + -21y = -35 + 9y + -9y Combine like terms: 9y + -9y = 0 -24 + -21y = -35 + 0 -24 + -21y = -35 Add '24' to each side of the equation. -24 + 24 + -21y = -35 + 24 Combine like terms: -24 + 24 = 0 0 + -21y = -35 + 24 -21y = -35 + 24 Combine like terms: -35 + 24 = -11 -21y = -11 Divide each side by '-21'. y = 0.5238095238 Simplifying y = 0.5238095238
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