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Simplifying 7y + 2(y + -6) = 3(y + 1) + -2 Reorder the terms: 7y + 2(-6 + y) = 3(y + 1) + -2 7y + (-6 * 2 + y * 2) = 3(y + 1) + -2 7y + (-12 + 2y) = 3(y + 1) + -2 Reorder the terms: -12 + 7y + 2y = 3(y + 1) + -2 Combine like terms: 7y + 2y = 9y -12 + 9y = 3(y + 1) + -2 Reorder the terms: -12 + 9y = 3(1 + y) + -2 -12 + 9y = (1 * 3 + y * 3) + -2 -12 + 9y = (3 + 3y) + -2 Reorder the terms: -12 + 9y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -12 + 9y = 1 + 3y Solving -12 + 9y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 9y + -3y = 1 + 3y + -3y Combine like terms: 9y + -3y = 6y -12 + 6y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 6y = 1 + 0 -12 + 6y = 1 Add '12' to each side of the equation. -12 + 12 + 6y = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 1 + 12 6y = 1 + 12 Combine like terms: 1 + 12 = 13 6y = 13 Divide each side by '6'. y = 2.166666667 Simplifying y = 2.166666667
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