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Simplifying 6(y + -7) + -5y = 10 Reorder the terms: 6(-7 + y) + -5y = 10 (-7 * 6 + y * 6) + -5y = 10 (-42 + 6y) + -5y = 10 Combine like terms: 6y + -5y = 1y -42 + 1y = 10 Solving -42 + 1y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1y = 10 + 42 Combine like terms: -42 + 42 = 0 0 + 1y = 10 + 42 1y = 10 + 42 Combine like terms: 10 + 42 = 52 1y = 52 Divide each side by '1'. y = 52 Simplifying y = 52
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