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Simplifying 4 + 12y + -3 = 8y + 50 + -3y Reorder the terms: 4 + -3 + 12y = 8y + 50 + -3y Combine like terms: 4 + -3 = 1 1 + 12y = 8y + 50 + -3y Reorder the terms: 1 + 12y = 50 + 8y + -3y Combine like terms: 8y + -3y = 5y 1 + 12y = 50 + 5y Solving 1 + 12y = 50 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + 12y + -5y = 50 + 5y + -5y Combine like terms: 12y + -5y = 7y 1 + 7y = 50 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + 7y = 50 + 0 1 + 7y = 50 Add '-1' to each side of the equation. 1 + -1 + 7y = 50 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 50 + -1 7y = 50 + -1 Combine like terms: 50 + -1 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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