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Simplifying 12y + 18 + -5(y + -4) + 8 + -3y = 122 Reorder the terms: 12y + 18 + -5(-4 + y) + 8 + -3y = 122 12y + 18 + (-4 * -5 + y * -5) + 8 + -3y = 122 12y + 18 + (20 + -5y) + 8 + -3y = 122 Reorder the terms: 18 + 20 + 8 + 12y + -5y + -3y = 122 Combine like terms: 18 + 20 = 38 38 + 8 + 12y + -5y + -3y = 122 Combine like terms: 38 + 8 = 46 46 + 12y + -5y + -3y = 122 Combine like terms: 12y + -5y = 7y 46 + 7y + -3y = 122 Combine like terms: 7y + -3y = 4y 46 + 4y = 122 Solving 46 + 4y = 122 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 4y = 122 + -46 Combine like terms: 46 + -46 = 0 0 + 4y = 122 + -46 4y = 122 + -46 Combine like terms: 122 + -46 = 76 4y = 76 Divide each side by '4'. y = 19 Simplifying y = 19
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