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Simplifying -3(y + -3y) + 8 = 2(2y + -1y) + 2 + 7y Combine like terms: y + -3y = -2y -3(-2y) + 8 = 2(2y + -1y) + 2 + 7y Remove parenthesis around (-2y) -3 * -2y + 8 = 2(2y + -1y) + 2 + 7y Multiply -3 * -2 6y + 8 = 2(2y + -1y) + 2 + 7y Reorder the terms: 8 + 6y = 2(2y + -1y) + 2 + 7y Combine like terms: 2y + -1y = 1y 8 + 6y = 2(1y) + 2 + 7y Remove parenthesis around (1y) 8 + 6y = 2 * 1y + 2 + 7y Multiply 2 * 1 8 + 6y = 2y + 2 + 7y Reorder the terms: 8 + 6y = 2 + 2y + 7y Combine like terms: 2y + 7y = 9y 8 + 6y = 2 + 9y Solving 8 + 6y = 2 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 8 + 6y + -9y = 2 + 9y + -9y Combine like terms: 6y + -9y = -3y 8 + -3y = 2 + 9y + -9y Combine like terms: 9y + -9y = 0 8 + -3y = 2 + 0 8 + -3y = 2 Add '-8' to each side of the equation. 8 + -8 + -3y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 2 + -8 -3y = 2 + -8 Combine like terms: 2 + -8 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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