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Simplifying 5(y + -6) = -5(y + -4) Reorder the terms: 5(-6 + y) = -5(y + -4) (-6 * 5 + y * 5) = -5(y + -4) (-30 + 5y) = -5(y + -4) Reorder the terms: -30 + 5y = -5(-4 + y) -30 + 5y = (-4 * -5 + y * -5) -30 + 5y = (20 + -5y) Solving -30 + 5y = 20 + -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. -30 + 5y + 5y = 20 + -5y + 5y Combine like terms: 5y + 5y = 10y -30 + 10y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 -30 + 10y = 20 + 0 -30 + 10y = 20 Add '30' to each side of the equation. -30 + 30 + 10y = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 10y = 20 + 30 10y = 20 + 30 Combine like terms: 20 + 30 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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