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Simplifying -2(y + -3y) + 8 = -5(3y + -1y) + 1 + 13y Combine like terms: y + -3y = -2y -2(-2y) + 8 = -5(3y + -1y) + 1 + 13y Remove parenthesis around (-2y) -2 * -2y + 8 = -5(3y + -1y) + 1 + 13y Multiply -2 * -2 4y + 8 = -5(3y + -1y) + 1 + 13y Reorder the terms: 8 + 4y = -5(3y + -1y) + 1 + 13y Combine like terms: 3y + -1y = 2y 8 + 4y = -5(2y) + 1 + 13y Remove parenthesis around (2y) 8 + 4y = -5 * 2y + 1 + 13y Multiply -5 * 2 8 + 4y = -10y + 1 + 13y Reorder the terms: 8 + 4y = 1 + -10y + 13y Combine like terms: -10y + 13y = 3y 8 + 4y = 1 + 3y Solving 8 + 4y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 4y + -3y = 1 + 3y + -3y Combine like terms: 4y + -3y = 1y 8 + 1y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 1y = 1 + 0 8 + 1y = 1 Add '-8' to each side of the equation. 8 + -8 + 1y = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 1 + -8 1y = 1 + -8 Combine like terms: 1 + -8 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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