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Simplifying -2(6y + -6) + 3y = 5(y + 6) Reorder the terms: -2(-6 + 6y) + 3y = 5(y + 6) (-6 * -2 + 6y * -2) + 3y = 5(y + 6) (12 + -12y) + 3y = 5(y + 6) Combine like terms: -12y + 3y = -9y 12 + -9y = 5(y + 6) Reorder the terms: 12 + -9y = 5(6 + y) 12 + -9y = (6 * 5 + y * 5) 12 + -9y = (30 + 5y) Solving 12 + -9y = 30 + 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. 12 + -9y + -5y = 30 + 5y + -5y Combine like terms: -9y + -5y = -14y 12 + -14y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -14y = 30 + 0 12 + -14y = 30 Add '-12' to each side of the equation. 12 + -12 + -14y = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -14y = 30 + -12 -14y = 30 + -12 Combine like terms: 30 + -12 = 18 -14y = 18 Divide each side by '-14'. y = -1.285714286 Simplifying y = -1.285714286
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