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Simplifying 8y + -6(y + -3) = 6 + -3(y + -2) Reorder the terms: 8y + -6(-3 + y) = 6 + -3(y + -2) 8y + (-3 * -6 + y * -6) = 6 + -3(y + -2) 8y + (18 + -6y) = 6 + -3(y + -2) Reorder the terms: 18 + 8y + -6y = 6 + -3(y + -2) Combine like terms: 8y + -6y = 2y 18 + 2y = 6 + -3(y + -2) Reorder the terms: 18 + 2y = 6 + -3(-2 + y) 18 + 2y = 6 + (-2 * -3 + y * -3) 18 + 2y = 6 + (6 + -3y) Combine like terms: 6 + 6 = 12 18 + 2y = 12 + -3y Solving 18 + 2y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 18 + 2y + 3y = 12 + -3y + 3y Combine like terms: 2y + 3y = 5y 18 + 5y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + 5y = 12 + 0 18 + 5y = 12 Add '-18' to each side of the equation. 18 + -18 + 5y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 5y = 12 + -18 5y = 12 + -18 Combine like terms: 12 + -18 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2
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