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Simplifying 2y + 32 = -7(y + 7) Reorder the terms: 32 + 2y = -7(y + 7) Reorder the terms: 32 + 2y = -7(7 + y) 32 + 2y = (7 * -7 + y * -7) 32 + 2y = (-49 + -7y) Solving 32 + 2y = -49 + -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. 32 + 2y + 7y = -49 + -7y + 7y Combine like terms: 2y + 7y = 9y 32 + 9y = -49 + -7y + 7y Combine like terms: -7y + 7y = 0 32 + 9y = -49 + 0 32 + 9y = -49 Add '-32' to each side of the equation. 32 + -32 + 9y = -49 + -32 Combine like terms: 32 + -32 = 0 0 + 9y = -49 + -32 9y = -49 + -32 Combine like terms: -49 + -32 = -81 9y = -81 Divide each side by '9'. y = -9 Simplifying y = -9
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