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Simplifying 7y + 2(y + -3) = 6(y + 1) + -4 Reorder the terms: 7y + 2(-3 + y) = 6(y + 1) + -4 7y + (-3 * 2 + y * 2) = 6(y + 1) + -4 7y + (-6 + 2y) = 6(y + 1) + -4 Reorder the terms: -6 + 7y + 2y = 6(y + 1) + -4 Combine like terms: 7y + 2y = 9y -6 + 9y = 6(y + 1) + -4 Reorder the terms: -6 + 9y = 6(1 + y) + -4 -6 + 9y = (1 * 6 + y * 6) + -4 -6 + 9y = (6 + 6y) + -4 Reorder the terms: -6 + 9y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 -6 + 9y = 2 + 6y Solving -6 + 9y = 2 + 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. -6 + 9y + -6y = 2 + 6y + -6y Combine like terms: 9y + -6y = 3y -6 + 3y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 3y = 2 + 0 -6 + 3y = 2 Add '6' to each side of the equation. -6 + 6 + 3y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 2 + 6 3y = 2 + 6 Combine like terms: 2 + 6 = 8 3y = 8 Divide each side by '3'. y = 2.666666667 Simplifying y = 2.666666667
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