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Simplifying 2(101 + -5y) + y = 79 + -1(101 + -5y) (101 * 2 + -5y * 2) + y = 79 + -1(101 + -5y) (202 + -10y) + y = 79 + -1(101 + -5y) Combine like terms: -10y + y = -9y 202 + -9y = 79 + -1(101 + -5y) 202 + -9y = 79 + (101 * -1 + -5y * -1) 202 + -9y = 79 + (-101 + 5y) Combine like terms: 79 + -101 = -22 202 + -9y = -22 + 5y Solving 202 + -9y = -22 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 202 + -9y + -5y = -22 + 5y + -5y Combine like terms: -9y + -5y = -14y 202 + -14y = -22 + 5y + -5y Combine like terms: 5y + -5y = 0 202 + -14y = -22 + 0 202 + -14y = -22 Add '-202' to each side of the equation. 202 + -202 + -14y = -22 + -202 Combine like terms: 202 + -202 = 0 0 + -14y = -22 + -202 -14y = -22 + -202 Combine like terms: -22 + -202 = -224 -14y = -224 Divide each side by '-14'. y = 16 Simplifying y = 16
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