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Simplifying 7(y + -2) = 4y + -32 Reorder the terms: 7(-2 + y) = 4y + -32 (-2 * 7 + y * 7) = 4y + -32 (-14 + 7y) = 4y + -32 Reorder the terms: -14 + 7y = -32 + 4y Solving -14 + 7y = -32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -14 + 7y + -4y = -32 + 4y + -4y Combine like terms: 7y + -4y = 3y -14 + 3y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 -14 + 3y = -32 + 0 -14 + 3y = -32 Add '14' to each side of the equation. -14 + 14 + 3y = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 3y = -32 + 14 3y = -32 + 14 Combine like terms: -32 + 14 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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