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Simplifying -3(3y + -8) + y = 6(y + 7) Reorder the terms: -3(-8 + 3y) + y = 6(y + 7) (-8 * -3 + 3y * -3) + y = 6(y + 7) (24 + -9y) + y = 6(y + 7) Combine like terms: -9y + y = -8y 24 + -8y = 6(y + 7) Reorder the terms: 24 + -8y = 6(7 + y) 24 + -8y = (7 * 6 + y * 6) 24 + -8y = (42 + 6y) Solving 24 + -8y = 42 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 24 + -8y + -6y = 42 + 6y + -6y Combine like terms: -8y + -6y = -14y 24 + -14y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + -14y = 42 + 0 24 + -14y = 42 Add '-24' to each side of the equation. 24 + -24 + -14y = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -14y = 42 + -24 -14y = 42 + -24 Combine like terms: 42 + -24 = 18 -14y = 18 Divide each side by '-14'. y = -1.285714286 Simplifying y = -1.285714286
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