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Simplifying -4y + 3(-3y + 5) = -3 + -6(9 + -1y) Reorder the terms: -4y + 3(5 + -3y) = -3 + -6(9 + -1y) -4y + (5 * 3 + -3y * 3) = -3 + -6(9 + -1y) -4y + (15 + -9y) = -3 + -6(9 + -1y) Reorder the terms: 15 + -4y + -9y = -3 + -6(9 + -1y) Combine like terms: -4y + -9y = -13y 15 + -13y = -3 + -6(9 + -1y) 15 + -13y = -3 + (9 * -6 + -1y * -6) 15 + -13y = -3 + (-54 + 6y) Combine like terms: -3 + -54 = -57 15 + -13y = -57 + 6y Solving 15 + -13y = -57 + 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. 15 + -13y + -6y = -57 + 6y + -6y Combine like terms: -13y + -6y = -19y 15 + -19y = -57 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -19y = -57 + 0 15 + -19y = -57 Add '-15' to each side of the equation. 15 + -15 + -19y = -57 + -15 Combine like terms: 15 + -15 = 0 0 + -19y = -57 + -15 -19y = -57 + -15 Combine like terms: -57 + -15 = -72 -19y = -72 Divide each side by '-19'. y = 3.789473684 Simplifying y = 3.789473684
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