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Simplifying -5(y + -2y) + 1 = -2(4y + -1y) + 8 + 10y Combine like terms: y + -2y = -1y -5(-1y) + 1 = -2(4y + -1y) + 8 + 10y Remove parenthesis around (-1y) -5 * -1y + 1 = -2(4y + -1y) + 8 + 10y Multiply -5 * -1 5y + 1 = -2(4y + -1y) + 8 + 10y Reorder the terms: 1 + 5y = -2(4y + -1y) + 8 + 10y Combine like terms: 4y + -1y = 3y 1 + 5y = -2(3y) + 8 + 10y Remove parenthesis around (3y) 1 + 5y = -2 * 3y + 8 + 10y Multiply -2 * 3 1 + 5y = -6y + 8 + 10y Reorder the terms: 1 + 5y = 8 + -6y + 10y Combine like terms: -6y + 10y = 4y 1 + 5y = 8 + 4y Solving 1 + 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. 1 + 5y + -4y = 8 + 4y + -4y Combine like terms: 5y + -4y = 1y 1 + 1y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + 1y = 8 + 0 1 + 1y = 8 Add '-1' to each side of the equation. 1 + -1 + 1y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 8 + -1 1y = 8 + -1 Combine like terms: 8 + -1 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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