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Simplifying 5(2y + 6) = 12 + -3(y + -6) Reorder the terms: 5(6 + 2y) = 12 + -3(y + -6) (6 * 5 + 2y * 5) = 12 + -3(y + -6) (30 + 10y) = 12 + -3(y + -6) Reorder the terms: 30 + 10y = 12 + -3(-6 + y) 30 + 10y = 12 + (-6 * -3 + y * -3) 30 + 10y = 12 + (18 + -3y) Combine like terms: 12 + 18 = 30 30 + 10y = 30 + -3y Add '-30' to each side of the equation. 30 + -30 + 10y = 30 + -30 + -3y Combine like terms: 30 + -30 = 0 0 + 10y = 30 + -30 + -3y 10y = 30 + -30 + -3y Combine like terms: 30 + -30 = 0 10y = 0 + -3y 10y = -3y Solving 10y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 10y + 3y = -3y + 3y Combine like terms: 10y + 3y = 13y 13y = -3y + 3y Combine like terms: -3y + 3y = 0 13y = 0 Divide each side by '13'. y = 0 Simplifying y = 0
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