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Simplifying -3(4y + -2) + 4y = 6(y + 2) Reorder the terms: -3(-2 + 4y) + 4y = 6(y + 2) (-2 * -3 + 4y * -3) + 4y = 6(y + 2) (6 + -12y) + 4y = 6(y + 2) Combine like terms: -12y + 4y = -8y 6 + -8y = 6(y + 2) Reorder the terms: 6 + -8y = 6(2 + y) 6 + -8y = (2 * 6 + y * 6) 6 + -8y = (12 + 6y) Solving 6 + -8y = 12 + 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. 6 + -8y + -6y = 12 + 6y + -6y Combine like terms: -8y + -6y = -14y 6 + -14y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + -14y = 12 + 0 6 + -14y = 12 Add '-6' to each side of the equation. 6 + -6 + -14y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -14y = 12 + -6 -14y = 12 + -6 Combine like terms: 12 + -6 = 6 -14y = 6 Divide each side by '-14'. y = -0.4285714286 Simplifying y = -0.4285714286
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