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Simplifying 4 + 12y + -2 = 7y + 10 + -3y Reorder the terms: 4 + -2 + 12y = 7y + 10 + -3y Combine like terms: 4 + -2 = 2 2 + 12y = 7y + 10 + -3y Reorder the terms: 2 + 12y = 10 + 7y + -3y Combine like terms: 7y + -3y = 4y 2 + 12y = 10 + 4y Solving 2 + 12y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + 12y + -4y = 10 + 4y + -4y Combine like terms: 12y + -4y = 8y 2 + 8y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 8y = 10 + 0 2 + 8y = 10 Add '-2' to each side of the equation. 2 + -2 + 8y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = 10 + -2 8y = 10 + -2 Combine like terms: 10 + -2 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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