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