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Simplifying 5y + 78 + 4y + -23 = 6y + 10 Reorder the terms: 78 + -23 + 5y + 4y = 6y + 10 Combine like terms: 78 + -23 = 55 55 + 5y + 4y = 6y + 10 Combine like terms: 5y + 4y = 9y 55 + 9y = 6y + 10 Reorder the terms: 55 + 9y = 10 + 6y Solving 55 + 9y = 10 + 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 + 9y + -6y = 10 + 6y + -6y Combine like terms: 9y + -6y = 3y 55 + 3y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 55 + 3y = 10 + 0 55 + 3y = 10 Add '-55' to each side of the equation. 55 + -55 + 3y = 10 + -55 Combine like terms: 55 + -55 = 0 0 + 3y = 10 + -55 3y = 10 + -55 Combine like terms: 10 + -55 = -45 3y = -45 Divide each side by '3'. y = -15 Simplifying y = -15
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