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Simplifying -85 + 9Y + 8 = 4(4Y + -3) + -2 Reorder the terms: -85 + 8 + 9Y = 4(4Y + -3) + -2 Combine like terms: -85 + 8 = -77 -77 + 9Y = 4(4Y + -3) + -2 Reorder the terms: -77 + 9Y = 4(-3 + 4Y) + -2 -77 + 9Y = (-3 * 4 + 4Y * 4) + -2 -77 + 9Y = (-12 + 16Y) + -2 Reorder the terms: -77 + 9Y = -12 + -2 + 16Y Combine like terms: -12 + -2 = -14 -77 + 9Y = -14 + 16Y Solving -77 + 9Y = -14 + 16Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-16Y' to each side of the equation. -77 + 9Y + -16Y = -14 + 16Y + -16Y Combine like terms: 9Y + -16Y = -7Y -77 + -7Y = -14 + 16Y + -16Y Combine like terms: 16Y + -16Y = 0 -77 + -7Y = -14 + 0 -77 + -7Y = -14 Add '77' to each side of the equation. -77 + 77 + -7Y = -14 + 77 Combine like terms: -77 + 77 = 0 0 + -7Y = -14 + 77 -7Y = -14 + 77 Combine like terms: -14 + 77 = 63 -7Y = 63 Divide each side by '-7'. Y = -9 Simplifying Y = -9
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