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Simplifying 5(y + -3) + 2(y + 4) = 35 Reorder the terms: 5(-3 + y) + 2(y + 4) = 35 (-3 * 5 + y * 5) + 2(y + 4) = 35 (-15 + 5y) + 2(y + 4) = 35 Reorder the terms: -15 + 5y + 2(4 + y) = 35 -15 + 5y + (4 * 2 + y * 2) = 35 -15 + 5y + (8 + 2y) = 35 Reorder the terms: -15 + 8 + 5y + 2y = 35 Combine like terms: -15 + 8 = -7 -7 + 5y + 2y = 35 Combine like terms: 5y + 2y = 7y -7 + 7y = 35 Solving -7 + 7y = 35 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 = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 7y = 35 + 7 7y = 35 + 7 Combine like terms: 35 + 7 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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