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Simplifying 37 + -1(4y + -6) = 73 + -1(9y + -5) Reorder the terms: 37 + -1(-6 + 4y) = 73 + -1(9y + -5) 37 + (-6 * -1 + 4y * -1) = 73 + -1(9y + -5) 37 + (6 + -4y) = 73 + -1(9y + -5) Combine like terms: 37 + 6 = 43 43 + -4y = 73 + -1(9y + -5) Reorder the terms: 43 + -4y = 73 + -1(-5 + 9y) 43 + -4y = 73 + (-5 * -1 + 9y * -1) 43 + -4y = 73 + (5 + -9y) Combine like terms: 73 + 5 = 78 43 + -4y = 78 + -9y Solving 43 + -4y = 78 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 43 + -4y + 9y = 78 + -9y + 9y Combine like terms: -4y + 9y = 5y 43 + 5y = 78 + -9y + 9y Combine like terms: -9y + 9y = 0 43 + 5y = 78 + 0 43 + 5y = 78 Add '-43' to each side of the equation. 43 + -43 + 5y = 78 + -43 Combine like terms: 43 + -43 = 0 0 + 5y = 78 + -43 5y = 78 + -43 Combine like terms: 78 + -43 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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