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Simplifying 2(4y + 20) + 12 = (28y + -44) + -32 Reorder the terms: 2(20 + 4y) + 12 = (28y + -44) + -32 (20 * 2 + 4y * 2) + 12 = (28y + -44) + -32 (40 + 8y) + 12 = (28y + -44) + -32 Reorder the terms: 40 + 12 + 8y = (28y + -44) + -32 Combine like terms: 40 + 12 = 52 52 + 8y = (28y + -44) + -32 Reorder the terms: 52 + 8y = (-44 + 28y) + -32 Remove parenthesis around (-44 + 28y) 52 + 8y = -44 + 28y + -32 Reorder the terms: 52 + 8y = -44 + -32 + 28y Combine like terms: -44 + -32 = -76 52 + 8y = -76 + 28y Solving 52 + 8y = -76 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 52 + 8y + -28y = -76 + 28y + -28y Combine like terms: 8y + -28y = -20y 52 + -20y = -76 + 28y + -28y Combine like terms: 28y + -28y = 0 52 + -20y = -76 + 0 52 + -20y = -76 Add '-52' to each side of the equation. 52 + -52 + -20y = -76 + -52 Combine like terms: 52 + -52 = 0 0 + -20y = -76 + -52 -20y = -76 + -52 Combine like terms: -76 + -52 = -128 -20y = -128 Divide each side by '-20'. y = 6.4 Simplifying y = 6.4
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