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Simplifying 7y + -1(4 + -2y) = 3(2y + 3) 7y + (4 * -1 + -2y * -1) = 3(2y + 3) 7y + (-4 + 2y) = 3(2y + 3) Reorder the terms: -4 + 7y + 2y = 3(2y + 3) Combine like terms: 7y + 2y = 9y -4 + 9y = 3(2y + 3) Reorder the terms: -4 + 9y = 3(3 + 2y) -4 + 9y = (3 * 3 + 2y * 3) -4 + 9y = (9 + 6y) Solving -4 + 9y = 9 + 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 = 9 + 6y + -6y Combine like terms: 9y + -6y = 3y -4 + 3y = 9 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 3y = 9 + 0 -4 + 3y = 9 Add '4' to each side of the equation. -4 + 4 + 3y = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 9 + 4 3y = 9 + 4 Combine like terms: 9 + 4 = 13 3y = 13 Divide each side by '3'. y = 4.333333333 Simplifying y = 4.333333333
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