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