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Simplifying -3(7Y + -1) + 6Y = 3(Y + 4) Reorder the terms: -3(-1 + 7Y) + 6Y = 3(Y + 4) (-1 * -3 + 7Y * -3) + 6Y = 3(Y + 4) (3 + -21Y) + 6Y = 3(Y + 4) Combine like terms: -21Y + 6Y = -15Y 3 + -15Y = 3(Y + 4) Reorder the terms: 3 + -15Y = 3(4 + Y) 3 + -15Y = (4 * 3 + Y * 3) 3 + -15Y = (12 + 3Y) Solving 3 + -15Y = 12 + 3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. 3 + -15Y + -3Y = 12 + 3Y + -3Y Combine like terms: -15Y + -3Y = -18Y 3 + -18Y = 12 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 3 + -18Y = 12 + 0 3 + -18Y = 12 Add '-3' to each side of the equation. 3 + -3 + -18Y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -18Y = 12 + -3 -18Y = 12 + -3 Combine like terms: 12 + -3 = 9 -18Y = 9 Divide each side by '-18'. Y = -0.5 Simplifying Y = -0.5
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