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Simplifying -6(-3y + 9) + -5y = 4(y + -9) + -3 Reorder the terms: -6(9 + -3y) + -5y = 4(y + -9) + -3 (9 * -6 + -3y * -6) + -5y = 4(y + -9) + -3 (-54 + 18y) + -5y = 4(y + -9) + -3 Combine like terms: 18y + -5y = 13y -54 + 13y = 4(y + -9) + -3 Reorder the terms: -54 + 13y = 4(-9 + y) + -3 -54 + 13y = (-9 * 4 + y * 4) + -3 -54 + 13y = (-36 + 4y) + -3 Reorder the terms: -54 + 13y = -36 + -3 + 4y Combine like terms: -36 + -3 = -39 -54 + 13y = -39 + 4y Solving -54 + 13y = -39 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -54 + 13y + -4y = -39 + 4y + -4y Combine like terms: 13y + -4y = 9y -54 + 9y = -39 + 4y + -4y Combine like terms: 4y + -4y = 0 -54 + 9y = -39 + 0 -54 + 9y = -39 Add '54' to each side of the equation. -54 + 54 + 9y = -39 + 54 Combine like terms: -54 + 54 = 0 0 + 9y = -39 + 54 9y = -39 + 54 Combine like terms: -39 + 54 = 15 9y = 15 Divide each side by '9'. y = 1.666666667 Simplifying y = 1.666666667
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