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Simplifying 4(y + 8) + 2(y + 10) = 148 Reorder the terms: 4(8 + y) + 2(y + 10) = 148 (8 * 4 + y * 4) + 2(y + 10) = 148 (32 + 4y) + 2(y + 10) = 148 Reorder the terms: 32 + 4y + 2(10 + y) = 148 32 + 4y + (10 * 2 + y * 2) = 148 32 + 4y + (20 + 2y) = 148 Reorder the terms: 32 + 20 + 4y + 2y = 148 Combine like terms: 32 + 20 = 52 52 + 4y + 2y = 148 Combine like terms: 4y + 2y = 6y 52 + 6y = 148 Solving 52 + 6y = 148 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 6y = 148 + -52 Combine like terms: 52 + -52 = 0 0 + 6y = 148 + -52 6y = 148 + -52 Combine like terms: 148 + -52 = 96 6y = 96 Divide each side by '6'. y = 16 Simplifying y = 16
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