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Simplifying 9(2y + -5) = 2(2y + -22) Reorder the terms: 9(-5 + 2y) = 2(2y + -22) (-5 * 9 + 2y * 9) = 2(2y + -22) (-45 + 18y) = 2(2y + -22) Reorder the terms: -45 + 18y = 2(-22 + 2y) -45 + 18y = (-22 * 2 + 2y * 2) -45 + 18y = (-44 + 4y) Solving -45 + 18y = -44 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -45 + 18y + -4y = -44 + 4y + -4y Combine like terms: 18y + -4y = 14y -45 + 14y = -44 + 4y + -4y Combine like terms: 4y + -4y = 0 -45 + 14y = -44 + 0 -45 + 14y = -44 Add '45' to each side of the equation. -45 + 45 + 14y = -44 + 45 Combine like terms: -45 + 45 = 0 0 + 14y = -44 + 45 14y = -44 + 45 Combine like terms: -44 + 45 = 1 14y = 1 Divide each side by '14'. y = 0.07142857143 Simplifying y = 0.07142857143
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