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Simplifying 12y + 3y + -20(y + -5) = 150 Reorder the terms: 12y + 3y + -20(-5 + y) = 150 12y + 3y + (-5 * -20 + y * -20) = 150 12y + 3y + (100 + -20y) = 150 Reorder the terms: 100 + 12y + 3y + -20y = 150 Combine like terms: 12y + 3y = 15y 100 + 15y + -20y = 150 Combine like terms: 15y + -20y = -5y 100 + -5y = 150 Solving 100 + -5y = 150 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -5y = 150 + -100 Combine like terms: 100 + -100 = 0 0 + -5y = 150 + -100 -5y = 150 + -100 Combine like terms: 150 + -100 = 50 -5y = 50 Divide each side by '-5'. y = -10 Simplifying y = -10
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