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Simplifying 42 + 3y + -18 = 12y + -11 + -2y Reorder the terms: 42 + -18 + 3y = 12y + -11 + -2y Combine like terms: 42 + -18 = 24 24 + 3y = 12y + -11 + -2y Reorder the terms: 24 + 3y = -11 + 12y + -2y Combine like terms: 12y + -2y = 10y 24 + 3y = -11 + 10y Solving 24 + 3y = -11 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 24 + 3y + -10y = -11 + 10y + -10y Combine like terms: 3y + -10y = -7y 24 + -7y = -11 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + -7y = -11 + 0 24 + -7y = -11 Add '-24' to each side of the equation. 24 + -24 + -7y = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -7y = -11 + -24 -7y = -11 + -24 Combine like terms: -11 + -24 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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