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Simplifying 5(y + -4) = 2(y + 5) Reorder the terms: 5(-4 + y) = 2(y + 5) (-4 * 5 + y * 5) = 2(y + 5) (-20 + 5y) = 2(y + 5) Reorder the terms: -20 + 5y = 2(5 + y) -20 + 5y = (5 * 2 + y * 2) -20 + 5y = (10 + 2y) Solving -20 + 5y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -20 + 5y + -2y = 10 + 2y + -2y Combine like terms: 5y + -2y = 3y -20 + 3y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -20 + 3y = 10 + 0 -20 + 3y = 10 Add '20' to each side of the equation. -20 + 20 + 3y = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 3y = 10 + 20 3y = 10 + 20 Combine like terms: 10 + 20 = 30 3y = 30 Divide each side by '3'. y = 10 Simplifying y = 10
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