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Simplifying 5(y + -4) = -5(7 + y) Reorder the terms: 5(-4 + y) = -5(7 + y) (-4 * 5 + y * 5) = -5(7 + y) (-20 + 5y) = -5(7 + y) -20 + 5y = (7 * -5 + y * -5) -20 + 5y = (-35 + -5y) Solving -20 + 5y = -35 + -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 + 5y + 5y = -35 + -5y + 5y Combine like terms: 5y + 5y = 10y -20 + 10y = -35 + -5y + 5y Combine like terms: -5y + 5y = 0 -20 + 10y = -35 + 0 -20 + 10y = -35 Add '20' to each side of the equation. -20 + 20 + 10y = -35 + 20 Combine like terms: -20 + 20 = 0 0 + 10y = -35 + 20 10y = -35 + 20 Combine like terms: -35 + 20 = -15 10y = -15 Divide each side by '10'. y = -1.5 Simplifying y = -1.5
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