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Simplifying -2y + -34 = -7(y + 2) Reorder the terms: -34 + -2y = -7(y + 2) Reorder the terms: -34 + -2y = -7(2 + y) -34 + -2y = (2 * -7 + y * -7) -34 + -2y = (-14 + -7y) Solving -34 + -2y = -14 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -34 + -2y + 7y = -14 + -7y + 7y Combine like terms: -2y + 7y = 5y -34 + 5y = -14 + -7y + 7y Combine like terms: -7y + 7y = 0 -34 + 5y = -14 + 0 -34 + 5y = -14 Add '34' to each side of the equation. -34 + 34 + 5y = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 5y = -14 + 34 5y = -14 + 34 Combine like terms: -14 + 34 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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