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Simplifying -3(y + -6y) + 3 = -4(2y + -1y) + 9 + 18y Combine like terms: y + -6y = -5y -3(-5y) + 3 = -4(2y + -1y) + 9 + 18y Remove parenthesis around (-5y) -3 * -5y + 3 = -4(2y + -1y) + 9 + 18y Multiply -3 * -5 15y + 3 = -4(2y + -1y) + 9 + 18y Reorder the terms: 3 + 15y = -4(2y + -1y) + 9 + 18y Combine like terms: 2y + -1y = 1y 3 + 15y = -4(1y) + 9 + 18y Remove parenthesis around (1y) 3 + 15y = -4 * 1y + 9 + 18y Multiply -4 * 1 3 + 15y = -4y + 9 + 18y Reorder the terms: 3 + 15y = 9 + -4y + 18y Combine like terms: -4y + 18y = 14y 3 + 15y = 9 + 14y Solving 3 + 15y = 9 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 3 + 15y + -14y = 9 + 14y + -14y Combine like terms: 15y + -14y = 1y 3 + 1y = 9 + 14y + -14y Combine like terms: 14y + -14y = 0 3 + 1y = 9 + 0 3 + 1y = 9 Add '-3' to each side of the equation. 3 + -3 + 1y = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 9 + -3 1y = 9 + -3 Combine like terms: 9 + -3 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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