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Simplifying 5(y + 2) + -4(y + -1) = 5 Reorder the terms: 5(2 + y) + -4(y + -1) = 5 (2 * 5 + y * 5) + -4(y + -1) = 5 (10 + 5y) + -4(y + -1) = 5 Reorder the terms: 10 + 5y + -4(-1 + y) = 5 10 + 5y + (-1 * -4 + y * -4) = 5 10 + 5y + (4 + -4y) = 5 Reorder the terms: 10 + 4 + 5y + -4y = 5 Combine like terms: 10 + 4 = 14 14 + 5y + -4y = 5 Combine like terms: 5y + -4y = 1y 14 + 1y = 5 Solving 14 + 1y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1y = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 5 + -14 1y = 5 + -14 Combine like terms: 5 + -14 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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