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Simplifying 7y + -2(7y + -6) + -1(-7y + y + -1) = 0 Reorder the terms: 7y + -2(-6 + 7y) + -1(-7y + y + -1) = 0 7y + (-6 * -2 + 7y * -2) + -1(-7y + y + -1) = 0 7y + (12 + -14y) + -1(-7y + y + -1) = 0 Reorder the terms: 7y + 12 + -14y + -1(-1 + -7y + y) = 0 Combine like terms: -7y + y = -6y 7y + 12 + -14y + -1(-1 + -6y) = 0 7y + 12 + -14y + (-1 * -1 + -6y * -1) = 0 7y + 12 + -14y + (1 + 6y) = 0 Reorder the terms: 12 + 1 + 7y + -14y + 6y = 0 Combine like terms: 12 + 1 = 13 13 + 7y + -14y + 6y = 0 Combine like terms: 7y + -14y = -7y 13 + -7y + 6y = 0 Combine like terms: -7y + 6y = -1y 13 + -1y = 0 Solving 13 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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