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Simplifying 7 + y = 16 + -4(y + 1) Reorder the terms: 7 + y = 16 + -4(1 + y) 7 + y = 16 + (1 * -4 + y * -4) 7 + y = 16 + (-4 + -4y) Combine like terms: 16 + -4 = 12 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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