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Simplifying 6(y + -7) = 2 + 7y Reorder the terms: 6(-7 + y) = 2 + 7y (-7 * 6 + y * 6) = 2 + 7y (-42 + 6y) = 2 + 7y Solving -42 + 6y = 2 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -42 + 6y + -7y = 2 + 7y + -7y Combine like terms: 6y + -7y = -1y -42 + -1y = 2 + 7y + -7y Combine like terms: 7y + -7y = 0 -42 + -1y = 2 + 0 -42 + -1y = 2 Add '42' to each side of the equation. -42 + 42 + -1y = 2 + 42 Combine like terms: -42 + 42 = 0 0 + -1y = 2 + 42 -1y = 2 + 42 Combine like terms: 2 + 42 = 44 -1y = 44 Divide each side by '-1'. y = -44 Simplifying y = -44
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