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Simplifying 47 + 4y + -21 = 16y + -14 + -4y Reorder the terms: 47 + -21 + 4y = 16y + -14 + -4y Combine like terms: 47 + -21 = 26 26 + 4y = 16y + -14 + -4y Reorder the terms: 26 + 4y = -14 + 16y + -4y Combine like terms: 16y + -4y = 12y 26 + 4y = -14 + 12y Solving 26 + 4y = -14 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 26 + 4y + -12y = -14 + 12y + -12y Combine like terms: 4y + -12y = -8y 26 + -8y = -14 + 12y + -12y Combine like terms: 12y + -12y = 0 26 + -8y = -14 + 0 26 + -8y = -14 Add '-26' to each side of the equation. 26 + -26 + -8y = -14 + -26 Combine like terms: 26 + -26 = 0 0 + -8y = -14 + -26 -8y = -14 + -26 Combine like terms: -14 + -26 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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