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Simplifying 5(Y + -8) + -5 = -6(-4Y + 8) + -7y Reorder the terms: 5(-8 + Y) + -5 = -6(-4Y + 8) + -7y (-8 * 5 + Y * 5) + -5 = -6(-4Y + 8) + -7y (-40 + 5Y) + -5 = -6(-4Y + 8) + -7y Reorder the terms: -40 + -5 + 5Y = -6(-4Y + 8) + -7y Combine like terms: -40 + -5 = -45 -45 + 5Y = -6(-4Y + 8) + -7y Reorder the terms: -45 + 5Y = -6(8 + -4Y) + -7y -45 + 5Y = (8 * -6 + -4Y * -6) + -7y -45 + 5Y = (-48 + 24Y) + -7y Solving -45 + 5Y = -48 + 24Y + -7y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-24Y' to each side of the equation. -45 + 5Y + -24Y = -48 + 24Y + -24Y + -7y Combine like terms: 5Y + -24Y = -19Y -45 + -19Y = -48 + 24Y + -24Y + -7y Combine like terms: 24Y + -24Y = 0 -45 + -19Y = -48 + 0 + -7y -45 + -19Y = -48 + -7y Add '45' to each side of the equation. -45 + 45 + -19Y = -48 + 45 + -7y Combine like terms: -45 + 45 = 0 0 + -19Y = -48 + 45 + -7y -19Y = -48 + 45 + -7y Combine like terms: -48 + 45 = -3 -19Y = -3 + -7y Divide each side by '-19'. Y = 0.1578947368 + 0.3684210526y Simplifying Y = 0.1578947368 + 0.3684210526y
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