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Simplifying 3y + 4(y + -8) = 52 Reorder the terms: 3y + 4(-8 + y) = 52 3y + (-8 * 4 + y * 4) = 52 3y + (-32 + 4y) = 52 Reorder the terms: -32 + 3y + 4y = 52 Combine like terms: 3y + 4y = 7y -32 + 7y = 52 Solving -32 + 7y = 52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7y = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = 52 + 32 7y = 52 + 32 Combine like terms: 52 + 32 = 84 7y = 84 Divide each side by '7'. y = 12 Simplifying y = 12
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