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Simplifying 12 + -6(y + 7) = 2y + 18 Reorder the terms: 12 + -6(7 + y) = 2y + 18 12 + (7 * -6 + y * -6) = 2y + 18 12 + (-42 + -6y) = 2y + 18 Combine like terms: 12 + -42 = -30 -30 + -6y = 2y + 18 Reorder the terms: -30 + -6y = 18 + 2y Solving -30 + -6y = 18 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -30 + -6y + -2y = 18 + 2y + -2y Combine like terms: -6y + -2y = -8y -30 + -8y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 -30 + -8y = 18 + 0 -30 + -8y = 18 Add '30' to each side of the equation. -30 + 30 + -8y = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -8y = 18 + 30 -8y = 18 + 30 Combine like terms: 18 + 30 = 48 -8y = 48 Divide each side by '-8'. y = -6 Simplifying y = -6
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