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Simplifying 2y + 6 = 7 + -2y + 1 Reorder the terms: 6 + 2y = 7 + -2y + 1 Reorder the terms: 6 + 2y = 7 + 1 + -2y Combine like terms: 7 + 1 = 8 6 + 2y = 8 + -2y Solving 6 + 2y = 8 + -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 + 2y + 2y = 8 + -2y + 2y Combine like terms: 2y + 2y = 4y 6 + 4y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 4y = 8 + 0 6 + 4y = 8 Add '-6' to each side of the equation. 6 + -6 + 4y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4y = 8 + -6 4y = 8 + -6 Combine like terms: 8 + -6 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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