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Simplifying 2y + 35 = -5(y + 7) Reorder the terms: 35 + 2y = -5(y + 7) Reorder the terms: 35 + 2y = -5(7 + y) 35 + 2y = (7 * -5 + y * -5) 35 + 2y = (-35 + -5y) Solving 35 + 2y = -35 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 35 + 2y + 5y = -35 + -5y + 5y Combine like terms: 2y + 5y = 7y 35 + 7y = -35 + -5y + 5y Combine like terms: -5y + 5y = 0 35 + 7y = -35 + 0 35 + 7y = -35 Add '-35' to each side of the equation. 35 + -35 + 7y = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 7y = -35 + -35 7y = -35 + -35 Combine like terms: -35 + -35 = -70 7y = -70 Divide each side by '7'. y = -10 Simplifying y = -10
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