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Simplifying 8(y + -3) + 4(y + 1) = 40 Reorder the terms: 8(-3 + y) + 4(y + 1) = 40 (-3 * 8 + y * 8) + 4(y + 1) = 40 (-24 + 8y) + 4(y + 1) = 40 Reorder the terms: -24 + 8y + 4(1 + y) = 40 -24 + 8y + (1 * 4 + y * 4) = 40 -24 + 8y + (4 + 4y) = 40 Reorder the terms: -24 + 4 + 8y + 4y = 40 Combine like terms: -24 + 4 = -20 -20 + 8y + 4y = 40 Combine like terms: 8y + 4y = 12y -20 + 12y = 40 Solving -20 + 12y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12y = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 12y = 40 + 20 12y = 40 + 20 Combine like terms: 40 + 20 = 60 12y = 60 Divide each side by '12'. y = 5 Simplifying y = 5
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