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Simplifying 12y + -5(y + -1) = 2y + 6 Reorder the terms: 12y + -5(-1 + y) = 2y + 6 12y + (-1 * -5 + y * -5) = 2y + 6 12y + (5 + -5y) = 2y + 6 Reorder the terms: 5 + 12y + -5y = 2y + 6 Combine like terms: 12y + -5y = 7y 5 + 7y = 2y + 6 Reorder the terms: 5 + 7y = 6 + 2y Solving 5 + 7y = 6 + 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. 5 + 7y + -2y = 6 + 2y + -2y Combine like terms: 7y + -2y = 5y 5 + 5y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 5y = 6 + 0 5 + 5y = 6 Add '-5' to each side of the equation. 5 + -5 + 5y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 5y = 6 + -5 5y = 6 + -5 Combine like terms: 6 + -5 = 1 5y = 1 Divide each side by '5'. y = 0.2 Simplifying y = 0.2
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