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Simplifying -3(y + -2y) + 5 = -4(4y + -1y) + 9 + 14y Combine like terms: y + -2y = -1y -3(-1y) + 5 = -4(4y + -1y) + 9 + 14y Remove parenthesis around (-1y) -3 * -1y + 5 = -4(4y + -1y) + 9 + 14y Multiply -3 * -1 3y + 5 = -4(4y + -1y) + 9 + 14y Reorder the terms: 5 + 3y = -4(4y + -1y) + 9 + 14y Combine like terms: 4y + -1y = 3y 5 + 3y = -4(3y) + 9 + 14y Remove parenthesis around (3y) 5 + 3y = -4 * 3y + 9 + 14y Multiply -4 * 3 5 + 3y = -12y + 9 + 14y Reorder the terms: 5 + 3y = 9 + -12y + 14y Combine like terms: -12y + 14y = 2y 5 + 3y = 9 + 2y Solving 5 + 3y = 9 + 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 = 9 + 2y + -2y Combine like terms: 3y + -2y = 1y 5 + 1y = 9 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 1y = 9 + 0 5 + 1y = 9 Add '-5' to each side of the equation. 5 + -5 + 1y = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 9 + -5 1y = 9 + -5 Combine like terms: 9 + -5 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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