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Simplifying -5(y + -4y) + 6 = -2(3y + -1y) + 5 + 18y Combine like terms: y + -4y = -3y -5(-3y) + 6 = -2(3y + -1y) + 5 + 18y Remove parenthesis around (-3y) -5 * -3y + 6 = -2(3y + -1y) + 5 + 18y Multiply -5 * -3 15y + 6 = -2(3y + -1y) + 5 + 18y Reorder the terms: 6 + 15y = -2(3y + -1y) + 5 + 18y Combine like terms: 3y + -1y = 2y 6 + 15y = -2(2y) + 5 + 18y Remove parenthesis around (2y) 6 + 15y = -2 * 2y + 5 + 18y Multiply -2 * 2 6 + 15y = -4y + 5 + 18y Reorder the terms: 6 + 15y = 5 + -4y + 18y Combine like terms: -4y + 18y = 14y 6 + 15y = 5 + 14y Solving 6 + 15y = 5 + 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. 6 + 15y + -14y = 5 + 14y + -14y Combine like terms: 15y + -14y = 1y 6 + 1y = 5 + 14y + -14y Combine like terms: 14y + -14y = 0 6 + 1y = 5 + 0 6 + 1y = 5 Add '-6' to each side of the equation. 6 + -6 + 1y = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 5 + -6 1y = 5 + -6 Combine like terms: 5 + -6 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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