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Simplifying -5(y + -3y) + 3 = -2(5y + -1y) + 5 + 17y Combine like terms: y + -3y = -2y -5(-2y) + 3 = -2(5y + -1y) + 5 + 17y Remove parenthesis around (-2y) -5 * -2y + 3 = -2(5y + -1y) + 5 + 17y Multiply -5 * -2 10y + 3 = -2(5y + -1y) + 5 + 17y Reorder the terms: 3 + 10y = -2(5y + -1y) + 5 + 17y Combine like terms: 5y + -1y = 4y 3 + 10y = -2(4y) + 5 + 17y Remove parenthesis around (4y) 3 + 10y = -2 * 4y + 5 + 17y Multiply -2 * 4 3 + 10y = -8y + 5 + 17y Reorder the terms: 3 + 10y = 5 + -8y + 17y Combine like terms: -8y + 17y = 9y 3 + 10y = 5 + 9y Solving 3 + 10y = 5 + 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. 3 + 10y + -9y = 5 + 9y + -9y Combine like terms: 10y + -9y = 1y 3 + 1y = 5 + 9y + -9y Combine like terms: 9y + -9y = 0 3 + 1y = 5 + 0 3 + 1y = 5 Add '-3' to each side of the equation. 3 + -3 + 1y = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 5 + -3 1y = 5 + -3 Combine like terms: 5 + -3 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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