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Simplifying 7 + y = 4(3 + -1y) 7 + y = (3 * 4 + -1y * 4) 7 + y = (12 + -4y) Solving 7 + y = 12 + -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. 7 + y + 4y = 12 + -4y + 4y Combine like terms: y + 4y = 5y 7 + 5y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 5y = 12 + 0 7 + 5y = 12 Add '-7' to each side of the equation. 7 + -7 + 5y = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 12 + -7 5y = 12 + -7 Combine like terms: 12 + -7 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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