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Simplifying -3(y + -2y) + 6 = 2(3y + -1y) + 8 + 6y Combine like terms: y + -2y = -1y -3(-1y) + 6 = 2(3y + -1y) + 8 + 6y Remove parenthesis around (-1y) -3 * -1y + 6 = 2(3y + -1y) + 8 + 6y Multiply -3 * -1 3y + 6 = 2(3y + -1y) + 8 + 6y Reorder the terms: 6 + 3y = 2(3y + -1y) + 8 + 6y Combine like terms: 3y + -1y = 2y 6 + 3y = 2(2y) + 8 + 6y Remove parenthesis around (2y) 6 + 3y = 2 * 2y + 8 + 6y Multiply 2 * 2 6 + 3y = 4y + 8 + 6y Reorder the terms: 6 + 3y = 8 + 4y + 6y Combine like terms: 4y + 6y = 10y 6 + 3y = 8 + 10y Solving 6 + 3y = 8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 6 + 3y + -10y = 8 + 10y + -10y Combine like terms: 3y + -10y = -7y 6 + -7y = 8 + 10y + -10y Combine like terms: 10y + -10y = 0 6 + -7y = 8 + 0 6 + -7y = 8 Add '-6' to each side of the equation. 6 + -6 + -7y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -7y = 8 + -6 -7y = 8 + -6 Combine like terms: 8 + -6 = 2 -7y = 2 Divide each side by '-7'. y = -0.2857142857 Simplifying y = -0.2857142857
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