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