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Simplifying 5y + 10 = 7y + 8 Reorder the terms: 10 + 5y = 7y + 8 Reorder the terms: 10 + 5y = 8 + 7y Solving 10 + 5y = 8 + 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. 10 + 5y + -7y = 8 + 7y + -7y Combine like terms: 5y + -7y = -2y 10 + -2y = 8 + 7y + -7y Combine like terms: 7y + -7y = 0 10 + -2y = 8 + 0 10 + -2y = 8 Add '-10' to each side of the equation. 10 + -10 + -2y = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = 8 + -10 -2y = 8 + -10 Combine like terms: 8 + -10 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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