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Simplifying 3(y + -4) + 6y + 8 = 41 Reorder the terms: 3(-4 + y) + 6y + 8 = 41 (-4 * 3 + y * 3) + 6y + 8 = 41 (-12 + 3y) + 6y + 8 = 41 Reorder the terms: -12 + 8 + 3y + 6y = 41 Combine like terms: -12 + 8 = -4 -4 + 3y + 6y = 41 Combine like terms: 3y + 6y = 9y -4 + 9y = 41 Solving -4 + 9y = 41 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 + 9y = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 9y = 41 + 4 9y = 41 + 4 Combine like terms: 41 + 4 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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