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Simplifying -3y + 6(-9y + -1) = -1 + 9(6 + -1y) Reorder the terms: -3y + 6(-1 + -9y) = -1 + 9(6 + -1y) -3y + (-1 * 6 + -9y * 6) = -1 + 9(6 + -1y) -3y + (-6 + -54y) = -1 + 9(6 + -1y) Reorder the terms: -6 + -3y + -54y = -1 + 9(6 + -1y) Combine like terms: -3y + -54y = -57y -6 + -57y = -1 + 9(6 + -1y) -6 + -57y = -1 + (6 * 9 + -1y * 9) -6 + -57y = -1 + (54 + -9y) Combine like terms: -1 + 54 = 53 -6 + -57y = 53 + -9y Solving -6 + -57y = 53 + -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. -6 + -57y + 9y = 53 + -9y + 9y Combine like terms: -57y + 9y = -48y -6 + -48y = 53 + -9y + 9y Combine like terms: -9y + 9y = 0 -6 + -48y = 53 + 0 -6 + -48y = 53 Add '6' to each side of the equation. -6 + 6 + -48y = 53 + 6 Combine like terms: -6 + 6 = 0 0 + -48y = 53 + 6 -48y = 53 + 6 Combine like terms: 53 + 6 = 59 -48y = 59 Divide each side by '-48'. y = -1.229166667 Simplifying y = -1.229166667
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