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Simplifying 3(2y + -4) + 2y = 52 Reorder the terms: 3(-4 + 2y) + 2y = 52 (-4 * 3 + 2y * 3) + 2y = 52 (-12 + 6y) + 2y = 52 Combine like terms: 6y + 2y = 8y -12 + 8y = 52 Solving -12 + 8y = 52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8y = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 52 + 12 8y = 52 + 12 Combine like terms: 52 + 12 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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