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Simplifying -3(y + -3y) + 4 = -5(3y + -1y) + 6 + 13y Combine like terms: y + -3y = -2y -3(-2y) + 4 = -5(3y + -1y) + 6 + 13y Remove parenthesis around (-2y) -3 * -2y + 4 = -5(3y + -1y) + 6 + 13y Multiply -3 * -2 6y + 4 = -5(3y + -1y) + 6 + 13y Reorder the terms: 4 + 6y = -5(3y + -1y) + 6 + 13y Combine like terms: 3y + -1y = 2y 4 + 6y = -5(2y) + 6 + 13y Remove parenthesis around (2y) 4 + 6y = -5 * 2y + 6 + 13y Multiply -5 * 2 4 + 6y = -10y + 6 + 13y Reorder the terms: 4 + 6y = 6 + -10y + 13y Combine like terms: -10y + 13y = 3y 4 + 6y = 6 + 3y Solving 4 + 6y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 4 + 6y + -3y = 6 + 3y + -3y Combine like terms: 6y + -3y = 3y 4 + 3y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 3y = 6 + 0 4 + 3y = 6 Add '-4' to each side of the equation. 4 + -4 + 3y = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 6 + -4 3y = 6 + -4 Combine like terms: 6 + -4 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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