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Simplifying 5y + 7 = 1 + -7y Reorder the terms: 7 + 5y = 1 + -7y Solving 7 + 5y = 1 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 7 + 5y + 7y = 1 + -7y + 7y Combine like terms: 5y + 7y = 12y 7 + 12y = 1 + -7y + 7y Combine like terms: -7y + 7y = 0 7 + 12y = 1 + 0 7 + 12y = 1 Add '-7' to each side of the equation. 7 + -7 + 12y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 12y = 1 + -7 12y = 1 + -7 Combine like terms: 1 + -7 = -6 12y = -6 Divide each side by '12'. y = -0.5 Simplifying y = -0.5
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