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Simplifying -1(7y + -1) + -1(-6y + 6) = 7 Reorder the terms: -1(-1 + 7y) + -1(-6y + 6) = 7 (-1 * -1 + 7y * -1) + -1(-6y + 6) = 7 (1 + -7y) + -1(-6y + 6) = 7 Reorder the terms: 1 + -7y + -1(6 + -6y) = 7 1 + -7y + (6 * -1 + -6y * -1) = 7 1 + -7y + (-6 + 6y) = 7 Reorder the terms: 1 + -6 + -7y + 6y = 7 Combine like terms: 1 + -6 = -5 -5 + -7y + 6y = 7 Combine like terms: -7y + 6y = -1y -5 + -1y = 7 Solving -5 + -1y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 7 + 5 -1y = 7 + 5 Combine like terms: 7 + 5 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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