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Simplifying -4y + -2(-6y + 2) = -8 + -9(1 + -1y) Reorder the terms: -4y + -2(2 + -6y) = -8 + -9(1 + -1y) -4y + (2 * -2 + -6y * -2) = -8 + -9(1 + -1y) -4y + (-4 + 12y) = -8 + -9(1 + -1y) Reorder the terms: -4 + -4y + 12y = -8 + -9(1 + -1y) Combine like terms: -4y + 12y = 8y -4 + 8y = -8 + -9(1 + -1y) -4 + 8y = -8 + (1 * -9 + -1y * -9) -4 + 8y = -8 + (-9 + 9y) Combine like terms: -8 + -9 = -17 -4 + 8y = -17 + 9y Solving -4 + 8y = -17 + 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. -4 + 8y + -9y = -17 + 9y + -9y Combine like terms: 8y + -9y = -1y -4 + -1y = -17 + 9y + -9y Combine like terms: 9y + -9y = 0 -4 + -1y = -17 + 0 -4 + -1y = -17 Add '4' to each side of the equation. -4 + 4 + -1y = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = -17 + 4 -1y = -17 + 4 Combine like terms: -17 + 4 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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