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Simplifying 3(-34 + 5y) + -5y = -52 (-34 * 3 + 5y * 3) + -5y = -52 (-102 + 15y) + -5y = -52 Combine like terms: 15y + -5y = 10y -102 + 10y = -52 Solving -102 + 10y = -52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 10y = -52 + 102 Combine like terms: -102 + 102 = 0 0 + 10y = -52 + 102 10y = -52 + 102 Combine like terms: -52 + 102 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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