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Simplifying -3y + 6(-9y + -4) = 1 + 6(6 + -1y) Reorder the terms: -3y + 6(-4 + -9y) = 1 + 6(6 + -1y) -3y + (-4 * 6 + -9y * 6) = 1 + 6(6 + -1y) -3y + (-24 + -54y) = 1 + 6(6 + -1y) Reorder the terms: -24 + -3y + -54y = 1 + 6(6 + -1y) Combine like terms: -3y + -54y = -57y -24 + -57y = 1 + 6(6 + -1y) -24 + -57y = 1 + (6 * 6 + -1y * 6) -24 + -57y = 1 + (36 + -6y) Combine like terms: 1 + 36 = 37 -24 + -57y = 37 + -6y Solving -24 + -57y = 37 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -24 + -57y + 6y = 37 + -6y + 6y Combine like terms: -57y + 6y = -51y -24 + -51y = 37 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + -51y = 37 + 0 -24 + -51y = 37 Add '24' to each side of the equation. -24 + 24 + -51y = 37 + 24 Combine like terms: -24 + 24 = 0 0 + -51y = 37 + 24 -51y = 37 + 24 Combine like terms: 37 + 24 = 61 -51y = 61 Divide each side by '-51'. y = -1.196078431 Simplifying y = -1.196078431
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