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Simplifying -4y + -9(3y + 6) = 2 + -8(-3 + -1y) Reorder the terms: -4y + -9(6 + 3y) = 2 + -8(-3 + -1y) -4y + (6 * -9 + 3y * -9) = 2 + -8(-3 + -1y) -4y + (-54 + -27y) = 2 + -8(-3 + -1y) Reorder the terms: -54 + -4y + -27y = 2 + -8(-3 + -1y) Combine like terms: -4y + -27y = -31y -54 + -31y = 2 + -8(-3 + -1y) -54 + -31y = 2 + (-3 * -8 + -1y * -8) -54 + -31y = 2 + (24 + 8y) Combine like terms: 2 + 24 = 26 -54 + -31y = 26 + 8y Solving -54 + -31y = 26 + 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. -54 + -31y + -8y = 26 + 8y + -8y Combine like terms: -31y + -8y = -39y -54 + -39y = 26 + 8y + -8y Combine like terms: 8y + -8y = 0 -54 + -39y = 26 + 0 -54 + -39y = 26 Add '54' to each side of the equation. -54 + 54 + -39y = 26 + 54 Combine like terms: -54 + 54 = 0 0 + -39y = 26 + 54 -39y = 26 + 54 Combine like terms: 26 + 54 = 80 -39y = 80 Divide each side by '-39'. y = -2.051282051 Simplifying y = -2.051282051
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