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Simplifying 4(y + 2) = 36 + 4(6y + 12) Reorder the terms: 4(2 + y) = 36 + 4(6y + 12) (2 * 4 + y * 4) = 36 + 4(6y + 12) (8 + 4y) = 36 + 4(6y + 12) Reorder the terms: 8 + 4y = 36 + 4(12 + 6y) 8 + 4y = 36 + (12 * 4 + 6y * 4) 8 + 4y = 36 + (48 + 24y) Combine like terms: 36 + 48 = 84 8 + 4y = 84 + 24y Solving 8 + 4y = 84 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 8 + 4y + -24y = 84 + 24y + -24y Combine like terms: 4y + -24y = -20y 8 + -20y = 84 + 24y + -24y Combine like terms: 24y + -24y = 0 8 + -20y = 84 + 0 8 + -20y = 84 Add '-8' to each side of the equation. 8 + -8 + -20y = 84 + -8 Combine like terms: 8 + -8 = 0 0 + -20y = 84 + -8 -20y = 84 + -8 Combine like terms: 84 + -8 = 76 -20y = 76 Divide each side by '-20'. y = -3.8 Simplifying y = -3.8
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