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Simplifying y + (3(50) + 5) + (5y + -65) = 180 Multiply 3 * 50 y + (150 + 5) + (5y + -65) = 180 Combine like terms: 150 + 5 = 155 y + (155) + (5y + -65) = 180 y + 155 + (5y + -65) = 180 Reorder the terms: y + 155 + (-65 + 5y) = 180 Remove parenthesis around (-65 + 5y) y + 155 + -65 + 5y = 180 Reorder the terms: 155 + -65 + y + 5y = 180 Combine like terms: 155 + -65 = 90 90 + y + 5y = 180 Combine like terms: y + 5y = 6y 90 + 6y = 180 Solving 90 + 6y = 180 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 6y = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 6y = 180 + -90 6y = 180 + -90 Combine like terms: 180 + -90 = 90 6y = 90 Divide each side by '6'. y = 15 Simplifying y = 15
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