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Simplifying -32 = -8y + 6(y + -7) Reorder the terms: -32 = -8y + 6(-7 + y) -32 = -8y + (-7 * 6 + y * 6) -32 = -8y + (-42 + 6y) Reorder the terms: -32 = -42 + -8y + 6y Combine like terms: -8y + 6y = -2y -32 = -42 + -2y Solving -32 = -42 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -32 + 2y = -42 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 2y = -42 + 0 -32 + 2y = -42 Add '32' to each side of the equation. -32 + 32 + 2y = -42 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -42 + 32 2y = -42 + 32 Combine like terms: -42 + 32 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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