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Simplifying -13(y + -6) = -5y + 2(5y + 12) Reorder the terms: -13(-6 + y) = -5y + 2(5y + 12) (-6 * -13 + y * -13) = -5y + 2(5y + 12) (78 + -13y) = -5y + 2(5y + 12) Reorder the terms: 78 + -13y = -5y + 2(12 + 5y) 78 + -13y = -5y + (12 * 2 + 5y * 2) 78 + -13y = -5y + (24 + 10y) Reorder the terms: 78 + -13y = 24 + -5y + 10y Combine like terms: -5y + 10y = 5y 78 + -13y = 24 + 5y Solving 78 + -13y = 24 + 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. 78 + -13y + -5y = 24 + 5y + -5y Combine like terms: -13y + -5y = -18y 78 + -18y = 24 + 5y + -5y Combine like terms: 5y + -5y = 0 78 + -18y = 24 + 0 78 + -18y = 24 Add '-78' to each side of the equation. 78 + -78 + -18y = 24 + -78 Combine like terms: 78 + -78 = 0 0 + -18y = 24 + -78 -18y = 24 + -78 Combine like terms: 24 + -78 = -54 -18y = -54 Divide each side by '-18'. y = 3 Simplifying y = 3
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