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Simplifying -3y + 7(y + -6) = -6 Reorder the terms: -3y + 7(-6 + y) = -6 -3y + (-6 * 7 + y * 7) = -6 -3y + (-42 + 7y) = -6 Reorder the terms: -42 + -3y + 7y = -6 Combine like terms: -3y + 7y = 4y -42 + 4y = -6 Solving -42 + 4y = -6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 4y = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = -6 + 42 4y = -6 + 42 Combine like terms: -6 + 42 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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