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Simplifying 3(y + 6) = -2(7y + -3) + 2y Reorder the terms: 3(6 + y) = -2(7y + -3) + 2y (6 * 3 + y * 3) = -2(7y + -3) + 2y (18 + 3y) = -2(7y + -3) + 2y Reorder the terms: 18 + 3y = -2(-3 + 7y) + 2y 18 + 3y = (-3 * -2 + 7y * -2) + 2y 18 + 3y = (6 + -14y) + 2y Combine like terms: -14y + 2y = -12y 18 + 3y = 6 + -12y Solving 18 + 3y = 6 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 18 + 3y + 12y = 6 + -12y + 12y Combine like terms: 3y + 12y = 15y 18 + 15y = 6 + -12y + 12y Combine like terms: -12y + 12y = 0 18 + 15y = 6 + 0 18 + 15y = 6 Add '-18' to each side of the equation. 18 + -18 + 15y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 15y = 6 + -18 15y = 6 + -18 Combine like terms: 6 + -18 = -12 15y = -12 Divide each side by '15'. y = -0.8 Simplifying y = -0.8
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