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Simplifying 10(y + -3) = 5(y + 5) Reorder the terms: 10(-3 + y) = 5(y + 5) (-3 * 10 + y * 10) = 5(y + 5) (-30 + 10y) = 5(y + 5) Reorder the terms: -30 + 10y = 5(5 + y) -30 + 10y = (5 * 5 + y * 5) -30 + 10y = (25 + 5y) Solving -30 + 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. -30 + 10y + -5y = 25 + 5y + -5y Combine like terms: 10y + -5y = 5y -30 + 5y = 25 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 5y = 25 + 0 -30 + 5y = 25 Add '30' to each side of the equation. -30 + 30 + 5y = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 5y = 25 + 30 5y = 25 + 30 Combine like terms: 25 + 30 = 55 5y = 55 Divide each side by '5'. y = 11 Simplifying y = 11
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