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Simplifying 7(y + 3) + -1(y + -11) = 50 Reorder the terms: 7(3 + y) + -1(y + -11) = 50 (3 * 7 + y * 7) + -1(y + -11) = 50 (21 + 7y) + -1(y + -11) = 50 Reorder the terms: 21 + 7y + -1(-11 + y) = 50 21 + 7y + (-11 * -1 + y * -1) = 50 21 + 7y + (11 + -1y) = 50 Reorder the terms: 21 + 11 + 7y + -1y = 50 Combine like terms: 21 + 11 = 32 32 + 7y + -1y = 50 Combine like terms: 7y + -1y = 6y 32 + 6y = 50 Solving 32 + 6y = 50 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 6y = 50 + -32 Combine like terms: 32 + -32 = 0 0 + 6y = 50 + -32 6y = 50 + -32 Combine like terms: 50 + -32 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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