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Simplifying -4 + 5 = 6Y + -5(Y + -7) Combine like terms: -4 + 5 = 1 1 = 6Y + -5(Y + -7) Reorder the terms: 1 = 6Y + -5(-7 + Y) 1 = 6Y + (-7 * -5 + Y * -5) 1 = 6Y + (35 + -5Y) Reorder the terms: 1 = 35 + 6Y + -5Y Combine like terms: 6Y + -5Y = 1Y 1 = 35 + 1Y Solving 1 = 35 + 1Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. 1 + -1Y = 35 + 1Y + -1Y Combine like terms: 1Y + -1Y = 0 1 + -1Y = 35 + 0 1 + -1Y = 35 Add '-1' to each side of the equation. 1 + -1 + -1Y = 35 + -1 Combine like terms: 1 + -1 = 0 0 + -1Y = 35 + -1 -1Y = 35 + -1 Combine like terms: 35 + -1 = 34 -1Y = 34 Divide each side by '-1'. Y = -34 Simplifying Y = -34
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