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Simplifying 5y + 34 = -2(1 + -7y) Reorder the terms: 34 + 5y = -2(1 + -7y) 34 + 5y = (1 * -2 + -7y * -2) 34 + 5y = (-2 + 14y) Solving 34 + 5y = -2 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 34 + 5y + -14y = -2 + 14y + -14y Combine like terms: 5y + -14y = -9y 34 + -9y = -2 + 14y + -14y Combine like terms: 14y + -14y = 0 34 + -9y = -2 + 0 34 + -9y = -2 Add '-34' to each side of the equation. 34 + -34 + -9y = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9y = -2 + -34 -9y = -2 + -34 Combine like terms: -2 + -34 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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