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Simplifying 38 + 3y + -16 = 12y + -13 + -2y Reorder the terms: 38 + -16 + 3y = 12y + -13 + -2y Combine like terms: 38 + -16 = 22 22 + 3y = 12y + -13 + -2y Reorder the terms: 22 + 3y = -13 + 12y + -2y Combine like terms: 12y + -2y = 10y 22 + 3y = -13 + 10y Solving 22 + 3y = -13 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 22 + 3y + -10y = -13 + 10y + -10y Combine like terms: 3y + -10y = -7y 22 + -7y = -13 + 10y + -10y Combine like terms: 10y + -10y = 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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