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Simplifying 4(3y + -5) + 6(y + 4) = 40 Reorder the terms: 4(-5 + 3y) + 6(y + 4) = 40 (-5 * 4 + 3y * 4) + 6(y + 4) = 40 (-20 + 12y) + 6(y + 4) = 40 Reorder the terms: -20 + 12y + 6(4 + y) = 40 -20 + 12y + (4 * 6 + y * 6) = 40 -20 + 12y + (24 + 6y) = 40 Reorder the terms: -20 + 24 + 12y + 6y = 40 Combine like terms: -20 + 24 = 4 4 + 12y + 6y = 40 Combine like terms: 12y + 6y = 18y 4 + 18y = 40 Solving 4 + 18y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 18y = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 18y = 40 + -4 18y = 40 + -4 Combine like terms: 40 + -4 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
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