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Simplifying 7(y + -2) + 3(y + -1) = 3 Reorder the terms: 7(-2 + y) + 3(y + -1) = 3 (-2 * 7 + y * 7) + 3(y + -1) = 3 (-14 + 7y) + 3(y + -1) = 3 Reorder the terms: -14 + 7y + 3(-1 + y) = 3 -14 + 7y + (-1 * 3 + y * 3) = 3 -14 + 7y + (-3 + 3y) = 3 Reorder the terms: -14 + -3 + 7y + 3y = 3 Combine like terms: -14 + -3 = -17 -17 + 7y + 3y = 3 Combine like terms: 7y + 3y = 10y -17 + 10y = 3 Solving -17 + 10y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 10y = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 10y = 3 + 17 10y = 3 + 17 Combine like terms: 3 + 17 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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