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Simplifying 3y + 5 + -8y = 4y + -55 + 3y Reorder the terms: 5 + 3y + -8y = 4y + -55 + 3y Combine like terms: 3y + -8y = -5y 5 + -5y = 4y + -55 + 3y Reorder the terms: 5 + -5y = -55 + 4y + 3y Combine like terms: 4y + 3y = 7y 5 + -5y = -55 + 7y Solving 5 + -5y = -55 + 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. 5 + -5y + -7y = -55 + 7y + -7y Combine like terms: -5y + -7y = -12y 5 + -12y = -55 + 7y + -7y Combine like terms: 7y + -7y = 0 5 + -12y = -55 + 0 5 + -12y = -55 Add '-5' to each side of the equation. 5 + -5 + -12y = -55 + -5 Combine like terms: 5 + -5 = 0 0 + -12y = -55 + -5 -12y = -55 + -5 Combine like terms: -55 + -5 = -60 -12y = -60 Divide each side by '-12'. y = 5 Simplifying y = 5
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