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Simplifying 6(y + -7) + -1y = -2 Reorder the terms: 6(-7 + y) + -1y = -2 (-7 * 6 + y * 6) + -1y = -2 (-42 + 6y) + -1y = -2 Combine like terms: 6y + -1y = 5y -42 + 5y = -2 Solving -42 + 5y = -2 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 + 5y = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 5y = -2 + 42 5y = -2 + 42 Combine like terms: -2 + 42 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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