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Simplifying -2(4Y + -9) + 4y = 4(Y + 5) Reorder the terms: -2(-9 + 4Y) + 4y = 4(Y + 5) (-9 * -2 + 4Y * -2) + 4y = 4(Y + 5) (18 + -8Y) + 4y = 4(Y + 5) Reorder the terms: 18 + -8Y + 4y = 4(5 + Y) 18 + -8Y + 4y = (5 * 4 + Y * 4) 18 + -8Y + 4y = (20 + 4Y) Solving 18 + -8Y + 4y = 20 + 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 + -8Y + -4Y + 4y = 20 + 4Y + -4Y Combine like terms: -8Y + -4Y = -12Y 18 + -12Y + 4y = 20 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 18 + -12Y + 4y = 20 + 0 18 + -12Y + 4y = 20 Add '-18' to each side of the equation. 18 + -12Y + -18 + 4y = 20 + -18 Reorder the terms: 18 + -18 + -12Y + 4y = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -12Y + 4y = 20 + -18 -12Y + 4y = 20 + -18 Combine like terms: 20 + -18 = 2 -12Y + 4y = 2 Add '-4y' to each side of the equation. -12Y + 4y + -4y = 2 + -4y Combine like terms: 4y + -4y = 0 -12Y + 0 = 2 + -4y -12Y = 2 + -4y Divide each side by '-12'. Y = -0.1666666667 + 0.3333333333y Simplifying Y = -0.1666666667 + 0.3333333333y
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