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Simplifying 9y + -32 = 7(y + -2) Reorder the terms: -32 + 9y = 7(y + -2) Reorder the terms: -32 + 9y = 7(-2 + y) -32 + 9y = (-2 * 7 + y * 7) -32 + 9y = (-14 + 7y) Solving -32 + 9y = -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. -32 + 9y + -7y = -14 + 7y + -7y Combine like terms: 9y + -7y = 2y -32 + 2y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 -32 + 2y = -14 + 0 -32 + 2y = -14 Add '32' to each side of the equation. -32 + 32 + 2y = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -14 + 32 2y = -14 + 32 Combine like terms: -14 + 32 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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