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Simplifying -2(y + 4) = 4y + -2 + 2(4y + 3) Reorder the terms: -2(4 + y) = 4y + -2 + 2(4y + 3) (4 * -2 + y * -2) = 4y + -2 + 2(4y + 3) (-8 + -2y) = 4y + -2 + 2(4y + 3) Reorder the terms: -8 + -2y = 4y + -2 + 2(3 + 4y) -8 + -2y = 4y + -2 + (3 * 2 + 4y * 2) -8 + -2y = 4y + -2 + (6 + 8y) Reorder the terms: -8 + -2y = -2 + 6 + 4y + 8y Combine like terms: -2 + 6 = 4 -8 + -2y = 4 + 4y + 8y Combine like terms: 4y + 8y = 12y -8 + -2y = 4 + 12y Solving -8 + -2y = 4 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -8 + -2y + -12y = 4 + 12y + -12y Combine like terms: -2y + -12y = -14y -8 + -14y = 4 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -14y = 4 + 0 -8 + -14y = 4 Add '8' to each side of the equation. -8 + 8 + -14y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -14y = 4 + 8 -14y = 4 + 8 Combine like terms: 4 + 8 = 12 -14y = 12 Divide each side by '-14'. y = -0.8571428571 Simplifying y = -0.8571428571
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