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Simplifying -5(y + -2y) + 7 = -2(6y + -1y) + 8 + 14y Combine like terms: y + -2y = -1y -5(-1y) + 7 = -2(6y + -1y) + 8 + 14y Remove parenthesis around (-1y) -5 * -1y + 7 = -2(6y + -1y) + 8 + 14y Multiply -5 * -1 5y + 7 = -2(6y + -1y) + 8 + 14y Reorder the terms: 7 + 5y = -2(6y + -1y) + 8 + 14y Combine like terms: 6y + -1y = 5y 7 + 5y = -2(5y) + 8 + 14y Remove parenthesis around (5y) 7 + 5y = -2 * 5y + 8 + 14y Multiply -2 * 5 7 + 5y = -10y + 8 + 14y Reorder the terms: 7 + 5y = 8 + -10y + 14y Combine like terms: -10y + 14y = 4y 7 + 5y = 8 + 4y Solving 7 + 5y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7 + 5y + -4y = 8 + 4y + -4y Combine like terms: 5y + -4y = 1y 7 + 1y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + 1y = 8 + 0 7 + 1y = 8 Add '-7' to each side of the equation. 7 + -7 + 1y = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 8 + -7 1y = 8 + -7 Combine like terms: 8 + -7 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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