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Simplifying (-8) + -14(y + -3) = (-2y) + -1(y + -5) -8 + -14(y + -3) = (-2y) + -1(y + -5) Reorder the terms: -8 + -14(-3 + y) = (-2y) + -1(y + -5) -8 + (-3 * -14 + y * -14) = (-2y) + -1(y + -5) -8 + (42 + -14y) = (-2y) + -1(y + -5) Combine like terms: -8 + 42 = 34 34 + -14y = (-2y) + -1(y + -5) Reorder the terms: 34 + -14y = (-2y) + -1(-5 + y) 34 + -14y = (-2y) + (-5 * -1 + y * -1) 34 + -14y = (-2y) + (5 + -1y) Reorder the terms: 34 + -14y = 5 + (-2y) + -1y Combine like terms: (-2y) + -1y = -3y 34 + -14y = 5 + -3y Solving 34 + -14y = 5 + -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. 34 + -14y + 3y = 5 + -3y + 3y Combine like terms: -14y + 3y = -11y 34 + -11y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 34 + -11y = 5 + 0 34 + -11y = 5 Add '-34' to each side of the equation. 34 + -34 + -11y = 5 + -34 Combine like terms: 34 + -34 = 0 0 + -11y = 5 + -34 -11y = 5 + -34 Combine like terms: 5 + -34 = -29 -11y = -29 Divide each side by '-11'. y = 2.636363636 Simplifying y = 2.636363636
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