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Simplifying 6(y + -3) = 4y + -32 Reorder the terms: 6(-3 + y) = 4y + -32 (-3 * 6 + y * 6) = 4y + -32 (-18 + 6y) = 4y + -32 Reorder the terms: -18 + 6y = -32 + 4y Solving -18 + 6y = -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. -18 + 6y + -4y = -32 + 4y + -4y Combine like terms: 6y + -4y = 2y -18 + 2y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 2y = -32 + 0 -18 + 2y = -32 Add '18' to each side of the equation. -18 + 18 + 2y = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 2y = -32 + 18 2y = -32 + 18 Combine like terms: -32 + 18 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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