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Simplifying 14y + 53 = 23y + -100 Reorder the terms: 53 + 14y = 23y + -100 Reorder the terms: 53 + 14y = -100 + 23y Solving 53 + 14y = -100 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. 53 + 14y + -23y = -100 + 23y + -23y Combine like terms: 14y + -23y = -9y 53 + -9y = -100 + 23y + -23y Combine like terms: 23y + -23y = 0 53 + -9y = -100 + 0 53 + -9y = -100 Add '-53' to each side of the equation. 53 + -53 + -9y = -100 + -53 Combine like terms: 53 + -53 = 0 0 + -9y = -100 + -53 -9y = -100 + -53 Combine like terms: -100 + -53 = -153 -9y = -153 Divide each side by '-9'. y = 17 Simplifying y = 17
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