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Simplifying 10(y + -3) = 5(y + 10) Reorder the terms: 10(-3 + y) = 5(y + 10) (-3 * 10 + y * 10) = 5(y + 10) (-30 + 10y) = 5(y + 10) Reorder the terms: -30 + 10y = 5(10 + y) -30 + 10y = (10 * 5 + y * 5) -30 + 10y = (50 + 5y) Solving -30 + 10y = 50 + 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 = 50 + 5y + -5y Combine like terms: 10y + -5y = 5y -30 + 5y = 50 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 5y = 50 + 0 -30 + 5y = 50 Add '30' to each side of the equation. -30 + 30 + 5y = 50 + 30 Combine like terms: -30 + 30 = 0 0 + 5y = 50 + 30 5y = 50 + 30 Combine like terms: 50 + 30 = 80 5y = 80 Divide each side by '5'. y = 16 Simplifying y = 16
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