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Simplifying 5y + 1 = 4y + -7 Reorder the terms: 1 + 5y = 4y + -7 Reorder the terms: 1 + 5y = -7 + 4y Solving 1 + 5y = -7 + 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 + 5y + -4y = -7 + 4y + -4y Combine like terms: 5y + -4y = 1y 1 + 1y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + 1y = -7 + 0 1 + 1y = -7 Add '-1' to each side of the equation. 1 + -1 + 1y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = -7 + -1 1y = -7 + -1 Combine like terms: -7 + -1 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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