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Simplifying 4(y + -9) + -3 = -3(-6y + 9) + -5y Reorder the terms: 4(-9 + y) + -3 = -3(-6y + 9) + -5y (-9 * 4 + y * 4) + -3 = -3(-6y + 9) + -5y (-36 + 4y) + -3 = -3(-6y + 9) + -5y Reorder the terms: -36 + -3 + 4y = -3(-6y + 9) + -5y Combine like terms: -36 + -3 = -39 -39 + 4y = -3(-6y + 9) + -5y Reorder the terms: -39 + 4y = -3(9 + -6y) + -5y -39 + 4y = (9 * -3 + -6y * -3) + -5y -39 + 4y = (-27 + 18y) + -5y Combine like terms: 18y + -5y = 13y -39 + 4y = -27 + 13y Solving -39 + 4y = -27 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -39 + 4y + -13y = -27 + 13y + -13y Combine like terms: 4y + -13y = -9y -39 + -9y = -27 + 13y + -13y Combine like terms: 13y + -13y = 0 -39 + -9y = -27 + 0 -39 + -9y = -27 Add '39' to each side of the equation. -39 + 39 + -9y = -27 + 39 Combine like terms: -39 + 39 = 0 0 + -9y = -27 + 39 -9y = -27 + 39 Combine like terms: -27 + 39 = 12 -9y = 12 Divide each side by '-9'. y = -1.333333333 Simplifying y = -1.333333333
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