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Simplifying 7y + -2(y + -3) = 12 + -1(8y + 8) Reorder the terms: 7y + -2(-3 + y) = 12 + -1(8y + 8) 7y + (-3 * -2 + y * -2) = 12 + -1(8y + 8) 7y + (6 + -2y) = 12 + -1(8y + 8) Reorder the terms: 6 + 7y + -2y = 12 + -1(8y + 8) Combine like terms: 7y + -2y = 5y 6 + 5y = 12 + -1(8y + 8) Reorder the terms: 6 + 5y = 12 + -1(8 + 8y) 6 + 5y = 12 + (8 * -1 + 8y * -1) 6 + 5y = 12 + (-8 + -8y) Combine like terms: 12 + -8 = 4 6 + 5y = 4 + -8y Solving 6 + 5y = 4 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 6 + 5y + 8y = 4 + -8y + 8y Combine like terms: 5y + 8y = 13y 6 + 13y = 4 + -8y + 8y Combine like terms: -8y + 8y = 0 6 + 13y = 4 + 0 6 + 13y = 4 Add '-6' to each side of the equation. 6 + -6 + 13y = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 13y = 4 + -6 13y = 4 + -6 Combine like terms: 4 + -6 = -2 13y = -2 Divide each side by '13'. y = -0.1538461538 Simplifying y = -0.1538461538
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