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Simplifying 42 + 3y + -18 = 12y + -12 + -3y Reorder the terms: 42 + -18 + 3y = 12y + -12 + -3y Combine like terms: 42 + -18 = 24 24 + 3y = 12y + -12 + -3y Reorder the terms: 24 + 3y = -12 + 12y + -3y Combine like terms: 12y + -3y = 9y 24 + 3y = -12 + 9y Solving 24 + 3y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 24 + 3y + -9y = -12 + 9y + -9y Combine like terms: 3y + -9y = -6y 24 + -6y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -6y = -12 + 0 24 + -6y = -12 Add '-24' to each side of the equation. 24 + -24 + -6y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = -12 + -24 -6y = -12 + -24 Combine like terms: -12 + -24 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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