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Simplifying -2(y + -4y) + 3 = -2(5y + -1y) + 7 + 13y Combine like terms: y + -4y = -3y -2(-3y) + 3 = -2(5y + -1y) + 7 + 13y Remove parenthesis around (-3y) -2 * -3y + 3 = -2(5y + -1y) + 7 + 13y Multiply -2 * -3 6y + 3 = -2(5y + -1y) + 7 + 13y Reorder the terms: 3 + 6y = -2(5y + -1y) + 7 + 13y Combine like terms: 5y + -1y = 4y 3 + 6y = -2(4y) + 7 + 13y Remove parenthesis around (4y) 3 + 6y = -2 * 4y + 7 + 13y Multiply -2 * 4 3 + 6y = -8y + 7 + 13y Reorder the terms: 3 + 6y = 7 + -8y + 13y Combine like terms: -8y + 13y = 5y 3 + 6y = 7 + 5y Solving 3 + 6y = 7 + 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. 3 + 6y + -5y = 7 + 5y + -5y Combine like terms: 6y + -5y = 1y 3 + 1y = 7 + 5y + -5y Combine like terms: 5y + -5y = 0 3 + 1y = 7 + 0 3 + 1y = 7 Add '-3' to each side of the equation. 3 + -3 + 1y = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 7 + -3 1y = 7 + -3 Combine like terms: 7 + -3 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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