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Simplifying (72x + -65y) + -1(62x + 15Y) = 0 Remove parenthesis around (72x + -65y) 72x + -65y + -1(62x + 15Y) = 0 Reorder the terms: 72x + -65y + -1(15Y + 62x) = 0 72x + -65y + (15Y * -1 + 62x * -1) = 0 72x + -65y + (-15Y + -62x) = 0 Reorder the terms: -15Y + 72x + -62x + -65y = 0 Combine like terms: 72x + -62x = 10x -15Y + 10x + -65y = 0 Solving -15Y + 10x + -65y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-10x' to each side of the equation. -15Y + 10x + -10x + -65y = 0 + -10x Combine like terms: 10x + -10x = 0 -15Y + 0 + -65y = 0 + -10x -15Y + -65y = 0 + -10x Remove the zero: -15Y + -65y = -10x Add '65y' to each side of the equation. -15Y + -65y + 65y = -10x + 65y Combine like terms: -65y + 65y = 0 -15Y + 0 = -10x + 65y -15Y = -10x + 65y Divide each side by '-15'. Y = 0.6666666667x + -4.333333333y Simplifying Y = 0.6666666667x + -4.333333333y
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