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Simplifying -2y + -12 = 7(y + 6) Reorder the terms: -12 + -2y = 7(y + 6) Reorder the terms: -12 + -2y = 7(6 + y) -12 + -2y = (6 * 7 + y * 7) -12 + -2y = (42 + 7y) Solving -12 + -2y = 42 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -12 + -2y + -7y = 42 + 7y + -7y Combine like terms: -2y + -7y = -9y -12 + -9y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + -9y = 42 + 0 -12 + -9y = 42 Add '12' to each side of the equation. -12 + 12 + -9y = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -9y = 42 + 12 -9y = 42 + 12 Combine like terms: 42 + 12 = 54 -9y = 54 Divide each side by '-9'. y = -6 Simplifying y = -6
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