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Simplifying 9(4y + -3) + -12 = 4(27 + 4y) Reorder the terms: 9(-3 + 4y) + -12 = 4(27 + 4y) (-3 * 9 + 4y * 9) + -12 = 4(27 + 4y) (-27 + 36y) + -12 = 4(27 + 4y) Reorder the terms: -27 + -12 + 36y = 4(27 + 4y) Combine like terms: -27 + -12 = -39 -39 + 36y = 4(27 + 4y) -39 + 36y = (27 * 4 + 4y * 4) -39 + 36y = (108 + 16y) Solving -39 + 36y = 108 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -39 + 36y + -16y = 108 + 16y + -16y Combine like terms: 36y + -16y = 20y -39 + 20y = 108 + 16y + -16y Combine like terms: 16y + -16y = 0 -39 + 20y = 108 + 0 -39 + 20y = 108 Add '39' to each side of the equation. -39 + 39 + 20y = 108 + 39 Combine like terms: -39 + 39 = 0 0 + 20y = 108 + 39 20y = 108 + 39 Combine like terms: 108 + 39 = 147 20y = 147 Divide each side by '20'. y = 7.35 Simplifying y = 7.35
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