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Simplifying -7y + 39 = -4(y + -3) Reorder the terms: 39 + -7y = -4(y + -3) Reorder the terms: 39 + -7y = -4(-3 + y) 39 + -7y = (-3 * -4 + y * -4) 39 + -7y = (12 + -4y) Solving 39 + -7y = 12 + -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. 39 + -7y + 4y = 12 + -4y + 4y Combine like terms: -7y + 4y = -3y 39 + -3y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 39 + -3y = 12 + 0 39 + -3y = 12 Add '-39' to each side of the equation. 39 + -39 + -3y = 12 + -39 Combine like terms: 39 + -39 = 0 0 + -3y = 12 + -39 -3y = 12 + -39 Combine like terms: 12 + -39 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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