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Simplifying 5(y + -4) = 20(y + 5) Reorder the terms: 5(-4 + y) = 20(y + 5) (-4 * 5 + y * 5) = 20(y + 5) (-20 + 5y) = 20(y + 5) Reorder the terms: -20 + 5y = 20(5 + y) -20 + 5y = (5 * 20 + y * 20) -20 + 5y = (100 + 20y) Solving -20 + 5y = 100 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -20 + 5y + -20y = 100 + 20y + -20y Combine like terms: 5y + -20y = -15y -20 + -15y = 100 + 20y + -20y Combine like terms: 20y + -20y = 0 -20 + -15y = 100 + 0 -20 + -15y = 100 Add '20' to each side of the equation. -20 + 20 + -15y = 100 + 20 Combine like terms: -20 + 20 = 0 0 + -15y = 100 + 20 -15y = 100 + 20 Combine like terms: 100 + 20 = 120 -15y = 120 Divide each side by '-15'. y = -8 Simplifying y = -8
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