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Simplifying 1 + y = 15 + -4(y + 1) Reorder the terms: 1 + y = 15 + -4(1 + y) 1 + y = 15 + (1 * -4 + y * -4) 1 + y = 15 + (-4 + -4y) Combine like terms: 15 + -4 = 11 1 + y = 11 + -4y Solving 1 + y = 11 + -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. 1 + y + 4y = 11 + -4y + 4y Combine like terms: y + 4y = 5y 1 + 5y = 11 + -4y + 4y Combine like terms: -4y + 4y = 0 1 + 5y = 11 + 0 1 + 5y = 11 Add '-1' to each side of the equation. 1 + -1 + 5y = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 11 + -1 5y = 11 + -1 Combine like terms: 11 + -1 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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