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