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Simplifying -5(y + 2) = 5(y + 8) Reorder the terms: -5(2 + y) = 5(y + 8) (2 * -5 + y * -5) = 5(y + 8) (-10 + -5y) = 5(y + 8) Reorder the terms: -10 + -5y = 5(8 + y) -10 + -5y = (8 * 5 + y * 5) -10 + -5y = (40 + 5y) Solving -10 + -5y = 40 + 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. -10 + -5y + -5y = 40 + 5y + -5y Combine like terms: -5y + -5y = -10y -10 + -10y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + -10y = 40 + 0 -10 + -10y = 40 Add '10' to each side of the equation. -10 + 10 + -10y = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -10y = 40 + 10 -10y = 40 + 10 Combine like terms: 40 + 10 = 50 -10y = 50 Divide each side by '-10'. y = -5 Simplifying y = -5
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