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Simplifying 2(y + -4y) + 7 = -2(2y + -1y) + 3 + 7y Combine like terms: y + -4y = -3y 2(-3y) + 7 = -2(2y + -1y) + 3 + 7y Remove parenthesis around (-3y) 2 * -3y + 7 = -2(2y + -1y) + 3 + 7y Multiply 2 * -3 -6y + 7 = -2(2y + -1y) + 3 + 7y Reorder the terms: 7 + -6y = -2(2y + -1y) + 3 + 7y Combine like terms: 2y + -1y = 1y 7 + -6y = -2(1y) + 3 + 7y Remove parenthesis around (1y) 7 + -6y = -2 * 1y + 3 + 7y Multiply -2 * 1 7 + -6y = -2y + 3 + 7y Reorder the terms: 7 + -6y = 3 + -2y + 7y Combine like terms: -2y + 7y = 5y 7 + -6y = 3 + 5y Solving 7 + -6y = 3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 7 + -6y + -5y = 3 + 5y + -5y Combine like terms: -6y + -5y = -11y 7 + -11y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -11y = 3 + 0 7 + -11y = 3 Add '-7' to each side of the equation. 7 + -7 + -11y = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -11y = 3 + -7 -11y = 3 + -7 Combine like terms: 3 + -7 = -4 -11y = -4 Divide each side by '-11'. y = 0.3636363636 Simplifying y = 0.3636363636
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