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Simplifying 3y + -1 = 7 + -1(8 + 3y) Reorder the terms: -1 + 3y = 7 + -1(8 + 3y) -1 + 3y = 7 + (8 * -1 + 3y * -1) -1 + 3y = 7 + (-8 + -3y) Combine like terms: 7 + -8 = -1 -1 + 3y = -1 + -3y Add '1' to each side of the equation. -1 + 1 + 3y = -1 + 1 + -3y Combine like terms: -1 + 1 = 0 0 + 3y = -1 + 1 + -3y 3y = -1 + 1 + -3y Combine like terms: -1 + 1 = 0 3y = 0 + -3y 3y = -3y Solving 3y = -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. 3y + 3y = -3y + 3y Combine like terms: 3y + 3y = 6y 6y = -3y + 3y Combine like terms: -3y + 3y = 0 6y = 0 Divide each side by '6'. y = 0 Simplifying y = 0
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