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Simplifying 32 + 4y + -10 = 16y + -13 + -5y Reorder the terms: 32 + -10 + 4y = 16y + -13 + -5y Combine like terms: 32 + -10 = 22 22 + 4y = 16y + -13 + -5y Reorder the terms: 22 + 4y = -13 + 16y + -5y Combine like terms: 16y + -5y = 11y 22 + 4y = -13 + 11y Solving 22 + 4y = -13 + 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. 22 + 4y + -11y = -13 + 11y + -11y Combine like terms: 4y + -11y = -7y 22 + -7y = -13 + 11y + -11y Combine like terms: 11y + -11y = 0 22 + -7y = -13 + 0 22 + -7y = -13 Add '-22' to each side of the equation. 22 + -22 + -7y = -13 + -22 Combine like terms: 22 + -22 = 0 0 + -7y = -13 + -22 -7y = -13 + -22 Combine like terms: -13 + -22 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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