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Simplifying -4(y + -2y) + 7 = -2(4y + -1y) + 2 + 9y Combine like terms: y + -2y = -1y -4(-1y) + 7 = -2(4y + -1y) + 2 + 9y Remove parenthesis around (-1y) -4 * -1y + 7 = -2(4y + -1y) + 2 + 9y Multiply -4 * -1 4y + 7 = -2(4y + -1y) + 2 + 9y Reorder the terms: 7 + 4y = -2(4y + -1y) + 2 + 9y Combine like terms: 4y + -1y = 3y 7 + 4y = -2(3y) + 2 + 9y Remove parenthesis around (3y) 7 + 4y = -2 * 3y + 2 + 9y Multiply -2 * 3 7 + 4y = -6y + 2 + 9y Reorder the terms: 7 + 4y = 2 + -6y + 9y Combine like terms: -6y + 9y = 3y 7 + 4y = 2 + 3y Solving 7 + 4y = 2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 7 + 4y + -3y = 2 + 3y + -3y Combine like terms: 4y + -3y = 1y 7 + 1y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 1y = 2 + 0 7 + 1y = 2 Add '-7' to each side of the equation. 7 + -7 + 1y = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 2 + -7 1y = 2 + -7 Combine like terms: 2 + -7 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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