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Simplifying 7y + 12 = 4(y + -6) Reorder the terms: 12 + 7y = 4(y + -6) Reorder the terms: 12 + 7y = 4(-6 + y) 12 + 7y = (-6 * 4 + y * 4) 12 + 7y = (-24 + 4y) Solving 12 + 7y = -24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + 7y + -4y = -24 + 4y + -4y Combine like terms: 7y + -4y = 3y 12 + 3y = -24 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + 3y = -24 + 0 12 + 3y = -24 Add '-12' to each side of the equation. 12 + -12 + 3y = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -24 + -12 3y = -24 + -12 Combine like terms: -24 + -12 = -36 3y = -36 Divide each side by '3'. y = -12 Simplifying y = -12
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