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