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Simplifying 0 = 12(2y + -3) + -3(6 + 5y) + 3(y + 2) Reorder the terms: 0 = 12(-3 + 2y) + -3(6 + 5y) + 3(y + 2) 0 = (-3 * 12 + 2y * 12) + -3(6 + 5y) + 3(y + 2) 0 = (-36 + 24y) + -3(6 + 5y) + 3(y + 2) 0 = -36 + 24y + (6 * -3 + 5y * -3) + 3(y + 2) 0 = -36 + 24y + (-18 + -15y) + 3(y + 2) Reorder the terms: 0 = -36 + 24y + -18 + -15y + 3(2 + y) 0 = -36 + 24y + -18 + -15y + (2 * 3 + y * 3) 0 = -36 + 24y + -18 + -15y + (6 + 3y) Reorder the terms: 0 = -36 + -18 + 6 + 24y + -15y + 3y Combine like terms: -36 + -18 = -54 0 = -54 + 6 + 24y + -15y + 3y Combine like terms: -54 + 6 = -48 0 = -48 + 24y + -15y + 3y Combine like terms: 24y + -15y = 9y 0 = -48 + 9y + 3y Combine like terms: 9y + 3y = 12y 0 = -48 + 12y Solving 0 = -48 + 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. 0 + -12y = -48 + 12y + -12y Remove the zero: -12y = -48 + 12y + -12y Combine like terms: 12y + -12y = 0 -12y = -48 + 0 -12y = -48 Divide each side by '-12'. y = 4 Simplifying y = 4
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