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Simplifying 54 + 4y + -22 = 14y + -10 + -3y Reorder the terms: 54 + -22 + 4y = 14y + -10 + -3y Combine like terms: 54 + -22 = 32 32 + 4y = 14y + -10 + -3y Reorder the terms: 32 + 4y = -10 + 14y + -3y Combine like terms: 14y + -3y = 11y 32 + 4y = -10 + 11y Solving 32 + 4y = -10 + 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. 32 + 4y + -11y = -10 + 11y + -11y Combine like terms: 4y + -11y = -7y 32 + -7y = -10 + 11y + -11y Combine like terms: 11y + -11y = 0 32 + -7y = -10 + 0 32 + -7y = -10 Add '-32' to each side of the equation. 32 + -32 + -7y = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -7y = -10 + -32 -7y = -10 + -32 Combine like terms: -10 + -32 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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