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Simplifying (2y + 6) + (8y + 10) + (y + 32) = 180 Reorder the terms: (6 + 2y) + (8y + 10) + (y + 32) = 180 Remove parenthesis around (6 + 2y) 6 + 2y + (8y + 10) + (y + 32) = 180 Reorder the terms: 6 + 2y + (10 + 8y) + (y + 32) = 180 Remove parenthesis around (10 + 8y) 6 + 2y + 10 + 8y + (y + 32) = 180 Reorder the terms: 6 + 2y + 10 + 8y + (32 + y) = 180 Remove parenthesis around (32 + y) 6 + 2y + 10 + 8y + 32 + y = 180 Reorder the terms: 6 + 10 + 32 + 2y + 8y + y = 180 Combine like terms: 6 + 10 = 16 16 + 32 + 2y + 8y + y = 180 Combine like terms: 16 + 32 = 48 48 + 2y + 8y + y = 180 Combine like terms: 2y + 8y = 10y 48 + 10y + y = 180 Combine like terms: 10y + y = 11y 48 + 11y = 180 Solving 48 + 11y = 180 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 11y = 180 + -48 Combine like terms: 48 + -48 = 0 0 + 11y = 180 + -48 11y = 180 + -48 Combine like terms: 180 + -48 = 132 11y = 132 Divide each side by '11'. y = 12 Simplifying y = 12
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