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Simplifying 5(y + 2) + 3(y + -5) = 19 Reorder the terms: 5(2 + y) + 3(y + -5) = 19 (2 * 5 + y * 5) + 3(y + -5) = 19 (10 + 5y) + 3(y + -5) = 19 Reorder the terms: 10 + 5y + 3(-5 + y) = 19 10 + 5y + (-5 * 3 + y * 3) = 19 10 + 5y + (-15 + 3y) = 19 Reorder the terms: 10 + -15 + 5y + 3y = 19 Combine like terms: 10 + -15 = -5 -5 + 5y + 3y = 19 Combine like terms: 5y + 3y = 8y -5 + 8y = 19 Solving -5 + 8y = 19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8y = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 19 + 5 8y = 19 + 5 Combine like terms: 19 + 5 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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