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Simplifying 2y + -4 + 5(2y + 2) = -2(y + 3) Reorder the terms: 2y + -4 + 5(2 + 2y) = -2(y + 3) 2y + -4 + (2 * 5 + 2y * 5) = -2(y + 3) 2y + -4 + (10 + 10y) = -2(y + 3) Reorder the terms: -4 + 10 + 2y + 10y = -2(y + 3) Combine like terms: -4 + 10 = 6 6 + 2y + 10y = -2(y + 3) Combine like terms: 2y + 10y = 12y 6 + 12y = -2(y + 3) Reorder the terms: 6 + 12y = -2(3 + y) 6 + 12y = (3 * -2 + y * -2) 6 + 12y = (-6 + -2y) Solving 6 + 12y = -6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 6 + 12y + 2y = -6 + -2y + 2y Combine like terms: 12y + 2y = 14y 6 + 14y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 14y = -6 + 0 6 + 14y = -6 Add '-6' to each side of the equation. 6 + -6 + 14y = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 14y = -6 + -6 14y = -6 + -6 Combine like terms: -6 + -6 = -12 14y = -12 Divide each side by '14'. y = -0.8571428571 Simplifying y = -0.8571428571
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