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Simplifying -4(4Y + 4) + -11 = -8(Y + 6) + 4Y Reorder the terms: -4(4 + 4Y) + -11 = -8(Y + 6) + 4Y (4 * -4 + 4Y * -4) + -11 = -8(Y + 6) + 4Y (-16 + -16Y) + -11 = -8(Y + 6) + 4Y Reorder the terms: -16 + -11 + -16Y = -8(Y + 6) + 4Y Combine like terms: -16 + -11 = -27 -27 + -16Y = -8(Y + 6) + 4Y Reorder the terms: -27 + -16Y = -8(6 + Y) + 4Y -27 + -16Y = (6 * -8 + Y * -8) + 4Y -27 + -16Y = (-48 + -8Y) + 4Y Combine like terms: -8Y + 4Y = -4Y -27 + -16Y = -48 + -4Y Solving -27 + -16Y = -48 + -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. -27 + -16Y + 4Y = -48 + -4Y + 4Y Combine like terms: -16Y + 4Y = -12Y -27 + -12Y = -48 + -4Y + 4Y Combine like terms: -4Y + 4Y = 0 -27 + -12Y = -48 + 0 -27 + -12Y = -48 Add '27' to each side of the equation. -27 + 27 + -12Y = -48 + 27 Combine like terms: -27 + 27 = 0 0 + -12Y = -48 + 27 -12Y = -48 + 27 Combine like terms: -48 + 27 = -21 -12Y = -21 Divide each side by '-12'. Y = 1.75 Simplifying Y = 1.75
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