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Simplifying -2(5y + -7) + -1y = 3(y + -3) Reorder the terms: -2(-7 + 5y) + -1y = 3(y + -3) (-7 * -2 + 5y * -2) + -1y = 3(y + -3) (14 + -10y) + -1y = 3(y + -3) Combine like terms: -10y + -1y = -11y 14 + -11y = 3(y + -3) Reorder the terms: 14 + -11y = 3(-3 + y) 14 + -11y = (-3 * 3 + y * 3) 14 + -11y = (-9 + 3y) Solving 14 + -11y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 14 + -11y + -3y = -9 + 3y + -3y Combine like terms: -11y + -3y = -14y 14 + -14y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 14 + -14y = -9 + 0 14 + -14y = -9 Add '-14' to each side of the equation. 14 + -14 + -14y = -9 + -14 Combine like terms: 14 + -14 = 0 0 + -14y = -9 + -14 -14y = -9 + -14 Combine like terms: -9 + -14 = -23 -14y = -23 Divide each side by '-14'. y = 1.642857143 Simplifying y = 1.642857143
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