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Simplifying 7(y + -2) = -3y + -34 Reorder the terms: 7(-2 + y) = -3y + -34 (-2 * 7 + y * 7) = -3y + -34 (-14 + 7y) = -3y + -34 Reorder the terms: -14 + 7y = -34 + -3y Solving -14 + 7y = -34 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -14 + 7y + 3y = -34 + -3y + 3y Combine like terms: 7y + 3y = 10y -14 + 10y = -34 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + 10y = -34 + 0 -14 + 10y = -34 Add '14' to each side of the equation. -14 + 14 + 10y = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 10y = -34 + 14 10y = -34 + 14 Combine like terms: -34 + 14 = -20 10y = -20 Divide each side by '10'. y = -2 Simplifying y = -2
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