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Simplifying 15(y + -3) = 2(5y + 10) Reorder the terms: 15(-3 + y) = 2(5y + 10) (-3 * 15 + y * 15) = 2(5y + 10) (-45 + 15y) = 2(5y + 10) Reorder the terms: -45 + 15y = 2(10 + 5y) -45 + 15y = (10 * 2 + 5y * 2) -45 + 15y = (20 + 10y) Solving -45 + 15y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -45 + 15y + -10y = 20 + 10y + -10y Combine like terms: 15y + -10y = 5y -45 + 5y = 20 + 10y + -10y Combine like terms: 10y + -10y = 0 -45 + 5y = 20 + 0 -45 + 5y = 20 Add '45' to each side of the equation. -45 + 45 + 5y = 20 + 45 Combine like terms: -45 + 45 = 0 0 + 5y = 20 + 45 5y = 20 + 45 Combine like terms: 20 + 45 = 65 5y = 65 Divide each side by '5'. y = 13 Simplifying y = 13
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