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Simplifying 12y + 6(4 + -3y) = 42 12y + (4 * 6 + -3y * 6) = 42 12y + (24 + -18y) = 42 Reorder the terms: 24 + 12y + -18y = 42 Combine like terms: 12y + -18y = -6y 24 + -6y = 42 Solving 24 + -6y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -6y = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = 42 + -24 -6y = 42 + -24 Combine like terms: 42 + -24 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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