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Simplifying 5(y + -4) + 3(y + 2) = 50 Reorder the terms: 5(-4 + y) + 3(y + 2) = 50 (-4 * 5 + y * 5) + 3(y + 2) = 50 (-20 + 5y) + 3(y + 2) = 50 Reorder the terms: -20 + 5y + 3(2 + y) = 50 -20 + 5y + (2 * 3 + y * 3) = 50 -20 + 5y + (6 + 3y) = 50 Reorder the terms: -20 + 6 + 5y + 3y = 50 Combine like terms: -20 + 6 = -14 -14 + 5y + 3y = 50 Combine like terms: 5y + 3y = 8y -14 + 8y = 50 Solving -14 + 8y = 50 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 + 8y = 50 + 14 Combine like terms: -14 + 14 = 0 0 + 8y = 50 + 14 8y = 50 + 14 Combine like terms: 50 + 14 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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