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Simplifying -7(2y + 6) = 7(y + -6) Reorder the terms: -7(6 + 2y) = 7(y + -6) (6 * -7 + 2y * -7) = 7(y + -6) (-42 + -14y) = 7(y + -6) Reorder the terms: -42 + -14y = 7(-6 + y) -42 + -14y = (-6 * 7 + y * 7) -42 + -14y = (-42 + 7y) Add '42' to each side of the equation. -42 + 42 + -14y = -42 + 42 + 7y Combine like terms: -42 + 42 = 0 0 + -14y = -42 + 42 + 7y -14y = -42 + 42 + 7y Combine like terms: -42 + 42 = 0 -14y = 0 + 7y -14y = 7y Solving -14y = 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. -14y + -7y = 7y + -7y Combine like terms: -14y + -7y = -21y -21y = 7y + -7y Combine like terms: 7y + -7y = 0 -21y = 0 Divide each side by '-21'. y = 0 Simplifying y = 0
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