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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 = -4y 18 + -4y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -4y = 54 + 0 18 + -4y = 54 Add '-18' to each side of the equation. 18 + -18 + -4y = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -4y = 54 + -18 -4y = 54 + -18 Combine like terms: 54 + -18 = 36 -4y = 36 Divide each side by '-4'. y = -9 Simplifying y = -9
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