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Simplifying Y + -4y + 3 = -5(y + 3.4) Reorder the terms: 3 + Y + -4y = -5(y + 3.4) Reorder the terms: 3 + Y + -4y = -5(3.4 + y) 3 + Y + -4y = (3.4 * -5 + y * -5) 3 + Y + -4y = (-17 + -5y) Solving 3 + Y + -4y = -17 + -5y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + Y + -3 + -4y = -17 + -3 + -5y Reorder the terms: 3 + -3 + Y + -4y = -17 + -3 + -5y Combine like terms: 3 + -3 = 0 0 + Y + -4y = -17 + -3 + -5y Y + -4y = -17 + -3 + -5y Combine like terms: -17 + -3 = -20 Y + -4y = -20 + -5y Add '4y' to each side of the equation. Y + -4y + 4y = -20 + -5y + 4y Combine like terms: -4y + 4y = 0 Y + 0 = -20 + -5y + 4y Y = -20 + -5y + 4y Combine like terms: -5y + 4y = -1y Y = -20 + -1y Simplifying Y = -20 + -1y
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