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Simplifying 7y + 2(y + -2) = 6(y + 1) + -3 Reorder the terms: 7y + 2(-2 + y) = 6(y + 1) + -3 7y + (-2 * 2 + y * 2) = 6(y + 1) + -3 7y + (-4 + 2y) = 6(y + 1) + -3 Reorder the terms: -4 + 7y + 2y = 6(y + 1) + -3 Combine like terms: 7y + 2y = 9y -4 + 9y = 6(y + 1) + -3 Reorder the terms: -4 + 9y = 6(1 + y) + -3 -4 + 9y = (1 * 6 + y * 6) + -3 -4 + 9y = (6 + 6y) + -3 Reorder the terms: -4 + 9y = 6 + -3 + 6y Combine like terms: 6 + -3 = 3 -4 + 9y = 3 + 6y Solving -4 + 9y = 3 + 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. -4 + 9y + -6y = 3 + 6y + -6y Combine like terms: 9y + -6y = 3y -4 + 3y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 3y = 3 + 0 -4 + 3y = 3 Add '4' to each side of the equation. -4 + 4 + 3y = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 3 + 4 3y = 3 + 4 Combine like terms: 3 + 4 = 7 3y = 7 Divide each side by '3'. y = 2.333333333 Simplifying y = 2.333333333
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