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Simplifying 5(y + -3) + 2(y + 4) = 42 Reorder the terms: 5(-3 + y) + 2(y + 4) = 42 (-3 * 5 + y * 5) + 2(y + 4) = 42 (-15 + 5y) + 2(y + 4) = 42 Reorder the terms: -15 + 5y + 2(4 + y) = 42 -15 + 5y + (4 * 2 + y * 2) = 42 -15 + 5y + (8 + 2y) = 42 Reorder the terms: -15 + 8 + 5y + 2y = 42 Combine like terms: -15 + 8 = -7 -7 + 5y + 2y = 42 Combine like terms: 5y + 2y = 7y -7 + 7y = 42 Solving -7 + 7y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7y = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 7y = 42 + 7 7y = 42 + 7 Combine like terms: 42 + 7 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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