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Simplifying 3(6y + 6) + -7 = -2(3y + -12) Reorder the terms: 3(6 + 6y) + -7 = -2(3y + -12) (6 * 3 + 6y * 3) + -7 = -2(3y + -12) (18 + 18y) + -7 = -2(3y + -12) Reorder the terms: 18 + -7 + 18y = -2(3y + -12) Combine like terms: 18 + -7 = 11 11 + 18y = -2(3y + -12) Reorder the terms: 11 + 18y = -2(-12 + 3y) 11 + 18y = (-12 * -2 + 3y * -2) 11 + 18y = (24 + -6y) Solving 11 + 18y = 24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 11 + 18y + 6y = 24 + -6y + 6y Combine like terms: 18y + 6y = 24y 11 + 24y = 24 + -6y + 6y Combine like terms: -6y + 6y = 0 11 + 24y = 24 + 0 11 + 24y = 24 Add '-11' to each side of the equation. 11 + -11 + 24y = 24 + -11 Combine like terms: 11 + -11 = 0 0 + 24y = 24 + -11 24y = 24 + -11 Combine like terms: 24 + -11 = 13 24y = 13 Divide each side by '24'. y = 0.5416666667 Simplifying y = 0.5416666667
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