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Simplifying 5(y + -6) + 2(y + 1) = 7 Reorder the terms: 5(-6 + y) + 2(y + 1) = 7 (-6 * 5 + y * 5) + 2(y + 1) = 7 (-30 + 5y) + 2(y + 1) = 7 Reorder the terms: -30 + 5y + 2(1 + y) = 7 -30 + 5y + (1 * 2 + y * 2) = 7 -30 + 5y + (2 + 2y) = 7 Reorder the terms: -30 + 2 + 5y + 2y = 7 Combine like terms: -30 + 2 = -28 -28 + 5y + 2y = 7 Combine like terms: 5y + 2y = 7y -28 + 7y = 7 Solving -28 + 7y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 7y = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 7y = 7 + 28 7y = 7 + 28 Combine like terms: 7 + 28 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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