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Simplifying 5y + -1 + 5y + -1 = 8y + 12 Reorder the terms: -1 + -1 + 5y + 5y = 8y + 12 Combine like terms: -1 + -1 = -2 -2 + 5y + 5y = 8y + 12 Combine like terms: 5y + 5y = 10y -2 + 10y = 8y + 12 Reorder the terms: -2 + 10y = 12 + 8y Solving -2 + 10y = 12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -2 + 10y + -8y = 12 + 8y + -8y Combine like terms: 10y + -8y = 2y -2 + 2y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + 2y = 12 + 0 -2 + 2y = 12 Add '2' to each side of the equation. -2 + 2 + 2y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 12 + 2 2y = 12 + 2 Combine like terms: 12 + 2 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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