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Simplifying 3y + 6 + -3(-6y + -2) = 6(y + -1) Reorder the terms: 3y + 6 + -3(-2 + -6y) = 6(y + -1) 3y + 6 + (-2 * -3 + -6y * -3) = 6(y + -1) 3y + 6 + (6 + 18y) = 6(y + -1) Reorder the terms: 6 + 6 + 3y + 18y = 6(y + -1) Combine like terms: 6 + 6 = 12 12 + 3y + 18y = 6(y + -1) Combine like terms: 3y + 18y = 21y 12 + 21y = 6(y + -1) Reorder the terms: 12 + 21y = 6(-1 + y) 12 + 21y = (-1 * 6 + y * 6) 12 + 21y = (-6 + 6y) Solving 12 + 21y = -6 + 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. 12 + 21y + -6y = -6 + 6y + -6y Combine like terms: 21y + -6y = 15y 12 + 15y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 15y = -6 + 0 12 + 15y = -6 Add '-12' to each side of the equation. 12 + -12 + 15y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 15y = -6 + -12 15y = -6 + -12 Combine like terms: -6 + -12 = -18 15y = -18 Divide each side by '15'. y = -1.2 Simplifying y = -1.2
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