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Simplifying 5y + 8y + 7 = 4y + 6y + 10 + 12 Reorder the terms: 7 + 5y + 8y = 4y + 6y + 10 + 12 Combine like terms: 5y + 8y = 13y 7 + 13y = 4y + 6y + 10 + 12 Reorder the terms: 7 + 13y = 10 + 12 + 4y + 6y Combine like terms: 10 + 12 = 22 7 + 13y = 22 + 4y + 6y Combine like terms: 4y + 6y = 10y 7 + 13y = 22 + 10y Solving 7 + 13y = 22 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 7 + 13y + -10y = 22 + 10y + -10y Combine like terms: 13y + -10y = 3y 7 + 3y = 22 + 10y + -10y Combine like terms: 10y + -10y = 0 7 + 3y = 22 + 0 7 + 3y = 22 Add '-7' to each side of the equation. 7 + -7 + 3y = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 22 + -7 3y = 22 + -7 Combine like terms: 22 + -7 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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