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Simplifying 4(y + 2) = -2(6y + -3) + 2y Reorder the terms: 4(2 + y) = -2(6y + -3) + 2y (2 * 4 + y * 4) = -2(6y + -3) + 2y (8 + 4y) = -2(6y + -3) + 2y Reorder the terms: 8 + 4y = -2(-3 + 6y) + 2y 8 + 4y = (-3 * -2 + 6y * -2) + 2y 8 + 4y = (6 + -12y) + 2y Combine like terms: -12y + 2y = -10y 8 + 4y = 6 + -10y Solving 8 + 4y = 6 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 8 + 4y + 10y = 6 + -10y + 10y Combine like terms: 4y + 10y = 14y 8 + 14y = 6 + -10y + 10y Combine like terms: -10y + 10y = 0 8 + 14y = 6 + 0 8 + 14y = 6 Add '-8' to each side of the equation. 8 + -8 + 14y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 14y = 6 + -8 14y = 6 + -8 Combine like terms: 6 + -8 = -2 14y = -2 Divide each side by '14'. y = -0.1428571429 Simplifying y = -0.1428571429
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