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Simplifying 2y + 1 = 7 + 4y + -2 Reorder the terms: 1 + 2y = 7 + 4y + -2 Reorder the terms: 1 + 2y = 7 + -2 + 4y Combine like terms: 7 + -2 = 5 1 + 2y = 5 + 4y Solving 1 + 2y = 5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 1 + 2y + -4y = 5 + 4y + -4y Combine like terms: 2y + -4y = -2y 1 + -2y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -2y = 5 + 0 1 + -2y = 5 Add '-1' to each side of the equation. 1 + -1 + -2y = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 5 + -1 -2y = 5 + -1 Combine like terms: 5 + -1 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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