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Simplifying 5(Y + -8) + -5 = -6(-4Y + 8) + -7 Reorder the terms: 5(-8 + Y) + -5 = -6(-4Y + 8) + -7 (-8 * 5 + Y * 5) + -5 = -6(-4Y + 8) + -7 (-40 + 5Y) + -5 = -6(-4Y + 8) + -7 Reorder the terms: -40 + -5 + 5Y = -6(-4Y + 8) + -7 Combine like terms: -40 + -5 = -45 -45 + 5Y = -6(-4Y + 8) + -7 Reorder the terms: -45 + 5Y = -6(8 + -4Y) + -7 -45 + 5Y = (8 * -6 + -4Y * -6) + -7 -45 + 5Y = (-48 + 24Y) + -7 Reorder the terms: -45 + 5Y = -48 + -7 + 24Y Combine like terms: -48 + -7 = -55 -45 + 5Y = -55 + 24Y Solving -45 + 5Y = -55 + 24Y 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 = -55 + 24Y + -24Y Combine like terms: 5Y + -24Y = -19Y -45 + -19Y = -55 + 24Y + -24Y Combine like terms: 24Y + -24Y = 0 -45 + -19Y = -55 + 0 -45 + -19Y = -55 Add '45' to each side of the equation. -45 + 45 + -19Y = -55 + 45 Combine like terms: -45 + 45 = 0 0 + -19Y = -55 + 45 -19Y = -55 + 45 Combine like terms: -55 + 45 = -10 -19Y = -10 Divide each side by '-19'. Y = 0.5263157895 Simplifying Y = 0.5263157895
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