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Simplifying 4Y + 2 = 2(4Y + -8) Reorder the terms: 2 + 4Y = 2(4Y + -8) Reorder the terms: 2 + 4Y = 2(-8 + 4Y) 2 + 4Y = (-8 * 2 + 4Y * 2) 2 + 4Y = (-16 + 8Y) Solving 2 + 4Y = -16 + 8Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8Y' to each side of the equation. 2 + 4Y + -8Y = -16 + 8Y + -8Y Combine like terms: 4Y + -8Y = -4Y 2 + -4Y = -16 + 8Y + -8Y Combine like terms: 8Y + -8Y = 0 2 + -4Y = -16 + 0 2 + -4Y = -16 Add '-2' to each side of the equation. 2 + -2 + -4Y = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -4Y = -16 + -2 -4Y = -16 + -2 Combine like terms: -16 + -2 = -18 -4Y = -18 Divide each side by '-4'. Y = 4.5 Simplifying Y = 4.5
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