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Simplifying 5(2y + -4) = 5(y + -5) Reorder the terms: 5(-4 + 2y) = 5(y + -5) (-4 * 5 + 2y * 5) = 5(y + -5) (-20 + 10y) = 5(y + -5) Reorder the terms: -20 + 10y = 5(-5 + y) -20 + 10y = (-5 * 5 + y * 5) -20 + 10y = (-25 + 5y) Solving -20 + 10y = -25 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -20 + 10y + -5y = -25 + 5y + -5y Combine like terms: 10y + -5y = 5y -20 + 5y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 -20 + 5y = -25 + 0 -20 + 5y = -25 Add '20' to each side of the equation. -20 + 20 + 5y = -25 + 20 Combine like terms: -20 + 20 = 0 0 + 5y = -25 + 20 5y = -25 + 20 Combine like terms: -25 + 20 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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