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Simplifying 2(2y + -7) + 20 = 54 + -8y Reorder the terms: 2(-7 + 2y) + 20 = 54 + -8y (-7 * 2 + 2y * 2) + 20 = 54 + -8y (-14 + 4y) + 20 = 54 + -8y Reorder the terms: -14 + 20 + 4y = 54 + -8y Combine like terms: -14 + 20 = 6 6 + 4y = 54 + -8y Solving 6 + 4y = 54 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 6 + 4y + 8y = 54 + -8y + 8y Combine like terms: 4y + 8y = 12y 6 + 12y = 54 + -8y + 8y Combine like terms: -8y + 8y = 0 6 + 12y = 54 + 0 6 + 12y = 54 Add '-6' to each side of the equation. 6 + -6 + 12y = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 12y = 54 + -6 12y = 54 + -6 Combine like terms: 54 + -6 = 48 12y = 48 Divide each side by '12'. y = 4 Simplifying y = 4
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