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Simplifying 3y + -2(y + -4) = 12 + -5y Reorder the terms: 3y + -2(-4 + y) = 12 + -5y 3y + (-4 * -2 + y * -2) = 12 + -5y 3y + (8 + -2y) = 12 + -5y Reorder the terms: 8 + 3y + -2y = 12 + -5y Combine like terms: 3y + -2y = 1y 8 + 1y = 12 + -5y Solving 8 + 1y = 12 + -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. 8 + 1y + 5y = 12 + -5y + 5y Combine like terms: 1y + 5y = 6y 8 + 6y = 12 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + 6y = 12 + 0 8 + 6y = 12 Add '-8' to each side of the equation. 8 + -8 + 6y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 6y = 12 + -8 6y = 12 + -8 Combine like terms: 12 + -8 = 4 6y = 4 Divide each side by '6'. y = 0.6666666667 Simplifying y = 0.6666666667
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