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Simplifying 1 + -3(-1y + 6) = 7(-1y + 2) + -1 Reorder the terms: 1 + -3(6 + -1y) = 7(-1y + 2) + -1 1 + (6 * -3 + -1y * -3) = 7(-1y + 2) + -1 1 + (-18 + 3y) = 7(-1y + 2) + -1 Combine like terms: 1 + -18 = -17 -17 + 3y = 7(-1y + 2) + -1 Reorder the terms: -17 + 3y = 7(2 + -1y) + -1 -17 + 3y = (2 * 7 + -1y * 7) + -1 -17 + 3y = (14 + -7y) + -1 Reorder the terms: -17 + 3y = 14 + -1 + -7y Combine like terms: 14 + -1 = 13 -17 + 3y = 13 + -7y Solving -17 + 3y = 13 + -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. -17 + 3y + 7y = 13 + -7y + 7y Combine like terms: 3y + 7y = 10y -17 + 10y = 13 + -7y + 7y Combine like terms: -7y + 7y = 0 -17 + 10y = 13 + 0 -17 + 10y = 13 Add '17' to each side of the equation. -17 + 17 + 10y = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 10y = 13 + 17 10y = 13 + 17 Combine like terms: 13 + 17 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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