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Simplifying 5(2y + -3) + 7 = 42 Reorder the terms: 5(-3 + 2y) + 7 = 42 (-3 * 5 + 2y * 5) + 7 = 42 (-15 + 10y) + 7 = 42 Reorder the terms: -15 + 7 + 10y = 42 Combine like terms: -15 + 7 = -8 -8 + 10y = 42 Solving -8 + 10y = 42 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 + 10y = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 10y = 42 + 8 10y = 42 + 8 Combine like terms: 42 + 8 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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