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Simplifying 7y + 2(y + -6) = 6(y + 1) + -2 Reorder the terms: 7y + 2(-6 + y) = 6(y + 1) + -2 7y + (-6 * 2 + y * 2) = 6(y + 1) + -2 7y + (-12 + 2y) = 6(y + 1) + -2 Reorder the terms: -12 + 7y + 2y = 6(y + 1) + -2 Combine like terms: 7y + 2y = 9y -12 + 9y = 6(y + 1) + -2 Reorder the terms: -12 + 9y = 6(1 + y) + -2 -12 + 9y = (1 * 6 + y * 6) + -2 -12 + 9y = (6 + 6y) + -2 Reorder the terms: -12 + 9y = 6 + -2 + 6y Combine like terms: 6 + -2 = 4 -12 + 9y = 4 + 6y Solving -12 + 9y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -12 + 9y + -6y = 4 + 6y + -6y Combine like terms: 9y + -6y = 3y -12 + 3y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 3y = 4 + 0 -12 + 3y = 4 Add '12' to each side of the equation. -12 + 12 + 3y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = 4 + 12 3y = 4 + 12 Combine like terms: 4 + 12 = 16 3y = 16 Divide each side by '3'. y = 5.333333333 Simplifying y = 5.333333333
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