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Simplifying 3y + 34 = -4(y + -5) Reorder the terms: 34 + 3y = -4(y + -5) Reorder the terms: 34 + 3y = -4(-5 + y) 34 + 3y = (-5 * -4 + y * -4) 34 + 3y = (20 + -4y) Solving 34 + 3y = 20 + -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. 34 + 3y + 4y = 20 + -4y + 4y Combine like terms: 3y + 4y = 7y 34 + 7y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 34 + 7y = 20 + 0 34 + 7y = 20 Add '-34' to each side of the equation. 34 + -34 + 7y = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 7y = 20 + -34 7y = 20 + -34 Combine like terms: 20 + -34 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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