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Simplifying 2y + -4 + y + 9 = -2y + -4 + 4y + 11 Reorder the terms: -4 + 9 + 2y + y = -2y + -4 + 4y + 11 Combine like terms: -4 + 9 = 5 5 + 2y + y = -2y + -4 + 4y + 11 Combine like terms: 2y + y = 3y 5 + 3y = -2y + -4 + 4y + 11 Reorder the terms: 5 + 3y = -4 + 11 + -2y + 4y Combine like terms: -4 + 11 = 7 5 + 3y = 7 + -2y + 4y Combine like terms: -2y + 4y = 2y 5 + 3y = 7 + 2y Solving 5 + 3y = 7 + 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. 5 + 3y + -2y = 7 + 2y + -2y Combine like terms: 3y + -2y = 1y 5 + 1y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 1y = 7 + 0 5 + 1y = 7 Add '-5' to each side of the equation. 5 + -5 + 1y = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 7 + -5 1y = 7 + -5 Combine like terms: 7 + -5 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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