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