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Simplifying 7 + -3y = -5(-1y + 2) + 3(2y + 3) Reorder the terms: 7 + -3y = -5(2 + -1y) + 3(2y + 3) 7 + -3y = (2 * -5 + -1y * -5) + 3(2y + 3) 7 + -3y = (-10 + 5y) + 3(2y + 3) Reorder the terms: 7 + -3y = -10 + 5y + 3(3 + 2y) 7 + -3y = -10 + 5y + (3 * 3 + 2y * 3) 7 + -3y = -10 + 5y + (9 + 6y) Reorder the terms: 7 + -3y = -10 + 9 + 5y + 6y Combine like terms: -10 + 9 = -1 7 + -3y = -1 + 5y + 6y Combine like terms: 5y + 6y = 11y 7 + -3y = -1 + 11y Solving 7 + -3y = -1 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 7 + -3y + -11y = -1 + 11y + -11y Combine like terms: -3y + -11y = -14y 7 + -14y = -1 + 11y + -11y Combine like terms: 11y + -11y = 0 7 + -14y = -1 + 0 7 + -14y = -1 Add '-7' to each side of the equation. 7 + -7 + -14y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -14y = -1 + -7 -14y = -1 + -7 Combine like terms: -1 + -7 = -8 -14y = -8 Divide each side by '-14'. y = 0.5714285714 Simplifying y = 0.5714285714
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