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Simplifying -2y + 34 = -8(y + -8) Reorder the terms: 34 + -2y = -8(y + -8) Reorder the terms: 34 + -2y = -8(-8 + y) 34 + -2y = (-8 * -8 + y * -8) 34 + -2y = (64 + -8y) Solving 34 + -2y = 64 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 34 + -2y + 8y = 64 + -8y + 8y Combine like terms: -2y + 8y = 6y 34 + 6y = 64 + -8y + 8y Combine like terms: -8y + 8y = 0 34 + 6y = 64 + 0 34 + 6y = 64 Add '-34' to each side of the equation. 34 + -34 + 6y = 64 + -34 Combine like terms: 34 + -34 = 0 0 + 6y = 64 + -34 6y = 64 + -34 Combine like terms: 64 + -34 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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