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Simplifying 12y + 19 = 17y + -21 Reorder the terms: 19 + 12y = 17y + -21 Reorder the terms: 19 + 12y = -21 + 17y Solving 19 + 12y = -21 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. 19 + 12y + -17y = -21 + 17y + -17y Combine like terms: 12y + -17y = -5y 19 + -5y = -21 + 17y + -17y Combine like terms: 17y + -17y = 0 19 + -5y = -21 + 0 19 + -5y = -21 Add '-19' to each side of the equation. 19 + -19 + -5y = -21 + -19 Combine like terms: 19 + -19 = 0 0 + -5y = -21 + -19 -5y = -21 + -19 Combine like terms: -21 + -19 = -40 -5y = -40 Divide each side by '-5'. y = 8 Simplifying y = 8
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