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Simplifying 3y + 2(2y + -4) = 41 Reorder the terms: 3y + 2(-4 + 2y) = 41 3y + (-4 * 2 + 2y * 2) = 41 3y + (-8 + 4y) = 41 Reorder the terms: -8 + 3y + 4y = 41 Combine like terms: 3y + 4y = 7y -8 + 7y = 41 Solving -8 + 7y = 41 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7y = 41 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = 41 + 8 7y = 41 + 8 Combine like terms: 41 + 8 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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