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Simplifying 2(y + 5) = 2(6y + -1) + 4y Reorder the terms: 2(5 + y) = 2(6y + -1) + 4y (5 * 2 + y * 2) = 2(6y + -1) + 4y (10 + 2y) = 2(6y + -1) + 4y Reorder the terms: 10 + 2y = 2(-1 + 6y) + 4y 10 + 2y = (-1 * 2 + 6y * 2) + 4y 10 + 2y = (-2 + 12y) + 4y Combine like terms: 12y + 4y = 16y 10 + 2y = -2 + 16y Solving 10 + 2y = -2 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 10 + 2y + -16y = -2 + 16y + -16y Combine like terms: 2y + -16y = -14y 10 + -14y = -2 + 16y + -16y Combine like terms: 16y + -16y = 0 10 + -14y = -2 + 0 10 + -14y = -2 Add '-10' to each side of the equation. 10 + -10 + -14y = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -14y = -2 + -10 -14y = -2 + -10 Combine like terms: -2 + -10 = -12 -14y = -12 Divide each side by '-14'. y = 0.8571428571 Simplifying y = 0.8571428571
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