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Simplifying -2(y + -6y) + 8 = -4(2y + -1y) + 4 + 13y Combine like terms: y + -6y = -5y -2(-5y) + 8 = -4(2y + -1y) + 4 + 13y Remove parenthesis around (-5y) -2 * -5y + 8 = -4(2y + -1y) + 4 + 13y Multiply -2 * -5 10y + 8 = -4(2y + -1y) + 4 + 13y Reorder the terms: 8 + 10y = -4(2y + -1y) + 4 + 13y Combine like terms: 2y + -1y = 1y 8 + 10y = -4(1y) + 4 + 13y Remove parenthesis around (1y) 8 + 10y = -4 * 1y + 4 + 13y Multiply -4 * 1 8 + 10y = -4y + 4 + 13y Reorder the terms: 8 + 10y = 4 + -4y + 13y Combine like terms: -4y + 13y = 9y 8 + 10y = 4 + 9y Solving 8 + 10y = 4 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 8 + 10y + -9y = 4 + 9y + -9y Combine like terms: 10y + -9y = 1y 8 + 1y = 4 + 9y + -9y Combine like terms: 9y + -9y = 0 8 + 1y = 4 + 0 8 + 1y = 4 Add '-8' to each side of the equation. 8 + -8 + 1y = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 4 + -8 1y = 4 + -8 Combine like terms: 4 + -8 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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