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Simplifying 9(4y + -3) + -12 = 4(27 + 5y) Reorder the terms: 9(-3 + 4y) + -12 = 4(27 + 5y) (-3 * 9 + 4y * 9) + -12 = 4(27 + 5y) (-27 + 36y) + -12 = 4(27 + 5y) Reorder the terms: -27 + -12 + 36y = 4(27 + 5y) Combine like terms: -27 + -12 = -39 -39 + 36y = 4(27 + 5y) -39 + 36y = (27 * 4 + 5y * 4) -39 + 36y = (108 + 20y) Solving -39 + 36y = 108 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -39 + 36y + -20y = 108 + 20y + -20y Combine like terms: 36y + -20y = 16y -39 + 16y = 108 + 20y + -20y Combine like terms: 20y + -20y = 0 -39 + 16y = 108 + 0 -39 + 16y = 108 Add '39' to each side of the equation. -39 + 39 + 16y = 108 + 39 Combine like terms: -39 + 39 = 0 0 + 16y = 108 + 39 16y = 108 + 39 Combine like terms: 108 + 39 = 147 16y = 147 Divide each side by '16'. y = 9.1875 Simplifying y = 9.1875
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