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