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Simplifying 7y + 23 = 4y + 8y + -22 Reorder the terms: 23 + 7y = 4y + 8y + -22 Reorder the terms: 23 + 7y = -22 + 4y + 8y Combine like terms: 4y + 8y = 12y 23 + 7y = -22 + 12y Solving 23 + 7y = -22 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 23 + 7y + -12y = -22 + 12y + -12y Combine like terms: 7y + -12y = -5y 23 + -5y = -22 + 12y + -12y Combine like terms: 12y + -12y = 0 23 + -5y = -22 + 0 23 + -5y = -22 Add '-23' to each side of the equation. 23 + -23 + -5y = -22 + -23 Combine like terms: 23 + -23 = 0 0 + -5y = -22 + -23 -5y = -22 + -23 Combine like terms: -22 + -23 = -45 -5y = -45 Divide each side by '-5'. y = 9 Simplifying y = 9
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