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Simplifying y + -55 = -6y + 1 Reorder the terms: -55 + y = -6y + 1 Reorder the terms: -55 + y = 1 + -6y Solving -55 + y = 1 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -55 + y + 6y = 1 + -6y + 6y Combine like terms: y + 6y = 7y -55 + 7y = 1 + -6y + 6y Combine like terms: -6y + 6y = 0 -55 + 7y = 1 + 0 -55 + 7y = 1 Add '55' to each side of the equation. -55 + 55 + 7y = 1 + 55 Combine like terms: -55 + 55 = 0 0 + 7y = 1 + 55 7y = 1 + 55 Combine like terms: 1 + 55 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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