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Simplifying -3(y + -2y) + 5 = -3(5y + -1y) + 2 + 14y Combine like terms: y + -2y = -1y -3(-1y) + 5 = -3(5y + -1y) + 2 + 14y Remove parenthesis around (-1y) -3 * -1y + 5 = -3(5y + -1y) + 2 + 14y Multiply -3 * -1 3y + 5 = -3(5y + -1y) + 2 + 14y Reorder the terms: 5 + 3y = -3(5y + -1y) + 2 + 14y Combine like terms: 5y + -1y = 4y 5 + 3y = -3(4y) + 2 + 14y Remove parenthesis around (4y) 5 + 3y = -3 * 4y + 2 + 14y Multiply -3 * 4 5 + 3y = -12y + 2 + 14y Reorder the terms: 5 + 3y = 2 + -12y + 14y Combine like terms: -12y + 14y = 2y 5 + 3y = 2 + 2y Solving 5 + 3y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y 5 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 1y = 2 + 0 5 + 1y = 2 Add '-5' to each side of the equation. 5 + -5 + 1y = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 2 + -5 1y = 2 + -5 Combine like terms: 2 + -5 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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