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Simplifying 3y + -34 = 2 + -3(3y + 8) Reorder the terms: -34 + 3y = 2 + -3(3y + 8) Reorder the terms: -34 + 3y = 2 + -3(8 + 3y) -34 + 3y = 2 + (8 * -3 + 3y * -3) -34 + 3y = 2 + (-24 + -9y) Combine like terms: 2 + -24 = -22 -34 + 3y = -22 + -9y Solving -34 + 3y = -22 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -34 + 3y + 9y = -22 + -9y + 9y Combine like terms: 3y + 9y = 12y -34 + 12y = -22 + -9y + 9y Combine like terms: -9y + 9y = 0 -34 + 12y = -22 + 0 -34 + 12y = -22 Add '34' to each side of the equation. -34 + 34 + 12y = -22 + 34 Combine like terms: -34 + 34 = 0 0 + 12y = -22 + 34 12y = -22 + 34 Combine like terms: -22 + 34 = 12 12y = 12 Divide each side by '12'. y = 1 Simplifying y = 1
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