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