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Simplifying 2y + 18 = 12 + -6(y + -7) Reorder the terms: 18 + 2y = 12 + -6(y + -7) Reorder the terms: 18 + 2y = 12 + -6(-7 + y) 18 + 2y = 12 + (-7 * -6 + y * -6) 18 + 2y = 12 + (42 + -6y) Combine like terms: 12 + 42 = 54 18 + 2y = 54 + -6y Solving 18 + 2y = 54 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 18 + 2y + 6y = 54 + -6y + 6y Combine like terms: 2y + 6y = 8y 18 + 8y = 54 + -6y + 6y Combine like terms: -6y + 6y = 0 18 + 8y = 54 + 0 18 + 8y = 54 Add '-18' to each side of the equation. 18 + -18 + 8y = 54 + -18 Combine like terms: 18 + -18 = 0 0 + 8y = 54 + -18 8y = 54 + -18 Combine like terms: 54 + -18 = 36 8y = 36 Divide each side by '8'. y = 4.5 Simplifying y = 4.5
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