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Simplifying -32 = -8y + 2(y + -7) Reorder the terms: -32 = -8y + 2(-7 + y) -32 = -8y + (-7 * 2 + y * 2) -32 = -8y + (-14 + 2y) Reorder the terms: -32 = -14 + -8y + 2y Combine like terms: -8y + 2y = -6y -32 = -14 + -6y Solving -32 = -14 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -32 + 6y = -14 + -6y + 6y Combine like terms: -6y + 6y = 0 -32 + 6y = -14 + 0 -32 + 6y = -14 Add '32' to each side of the equation. -32 + 32 + 6y = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 6y = -14 + 32 6y = -14 + 32 Combine like terms: -14 + 32 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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