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Simplifying 1 + y = 10 + -4(y + 1) Reorder the terms: 1 + y = 10 + -4(1 + y) 1 + y = 10 + (1 * -4 + y * -4) 1 + y = 10 + (-4 + -4y) Combine like terms: 10 + -4 = 6 1 + y = 6 + -4y Solving 1 + y = 6 + -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 = 6 + -4y + 4y Combine like terms: y + 4y = 5y 1 + 5y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 1 + 5y = 6 + 0 1 + 5y = 6 Add '-1' to each side of the equation. 1 + -1 + 5y = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 6 + -1 5y = 6 + -1 Combine like terms: 6 + -1 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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