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Simplifying -1(y + 5) + -4y = 5(y + -5) Reorder the terms: -1(5 + y) + -4y = 5(y + -5) (5 * -1 + y * -1) + -4y = 5(y + -5) (-5 + -1y) + -4y = 5(y + -5) Combine like terms: -1y + -4y = -5y -5 + -5y = 5(y + -5) Reorder the terms: -5 + -5y = 5(-5 + y) -5 + -5y = (-5 * 5 + y * 5) -5 + -5y = (-25 + 5y) Solving -5 + -5y = -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. -5 + -5y + -5y = -25 + 5y + -5y Combine like terms: -5y + -5y = -10y -5 + -10y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 -5 + -10y = -25 + 0 -5 + -10y = -25 Add '5' to each side of the equation. -5 + 5 + -10y = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -10y = -25 + 5 -10y = -25 + 5 Combine like terms: -25 + 5 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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