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Simplifying -8y + 34 = -2(y + 1) Reorder the terms: 34 + -8y = -2(y + 1) Reorder the terms: 34 + -8y = -2(1 + y) 34 + -8y = (1 * -2 + y * -2) 34 + -8y = (-2 + -2y) Solving 34 + -8y = -2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 34 + -8y + 2y = -2 + -2y + 2y Combine like terms: -8y + 2y = -6y 34 + -6y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 34 + -6y = -2 + 0 34 + -6y = -2 Add '-34' to each side of the equation. 34 + -34 + -6y = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -6y = -2 + -34 -6y = -2 + -34 Combine like terms: -2 + -34 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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