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Simplifying 5y + -10 + 7y = 8y + 10 Reorder the terms: -10 + 5y + 7y = 8y + 10 Combine like terms: 5y + 7y = 12y -10 + 12y = 8y + 10 Reorder the terms: -10 + 12y = 10 + 8y Solving -10 + 12y = 10 + 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. -10 + 12y + -8y = 10 + 8y + -8y Combine like terms: 12y + -8y = 4y -10 + 4y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 -10 + 4y = 10 + 0 -10 + 4y = 10 Add '10' to each side of the equation. -10 + 10 + 4y = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4y = 10 + 10 4y = 10 + 10 Combine like terms: 10 + 10 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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