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Simplifying 27 + 4y + -6 = 16y + -11 + -4y Reorder the terms: 27 + -6 + 4y = 16y + -11 + -4y Combine like terms: 27 + -6 = 21 21 + 4y = 16y + -11 + -4y Reorder the terms: 21 + 4y = -11 + 16y + -4y Combine like terms: 16y + -4y = 12y 21 + 4y = -11 + 12y Solving 21 + 4y = -11 + 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. 21 + 4y + -12y = -11 + 12y + -12y Combine like terms: 4y + -12y = -8y 21 + -8y = -11 + 12y + -12y Combine like terms: 12y + -12y = 0 21 + -8y = -11 + 0 21 + -8y = -11 Add '-21' to each side of the equation. 21 + -21 + -8y = -11 + -21 Combine like terms: 21 + -21 = 0 0 + -8y = -11 + -21 -8y = -11 + -21 Combine like terms: -11 + -21 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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