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Simplifying -9y + 40 = -2(y + -6) Reorder the terms: 40 + -9y = -2(y + -6) Reorder the terms: 40 + -9y = -2(-6 + y) 40 + -9y = (-6 * -2 + y * -2) 40 + -9y = (12 + -2y) Solving 40 + -9y = 12 + -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. 40 + -9y + 2y = 12 + -2y + 2y Combine like terms: -9y + 2y = -7y 40 + -7y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 40 + -7y = 12 + 0 40 + -7y = 12 Add '-40' to each side of the equation. 40 + -40 + -7y = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -7y = 12 + -40 -7y = 12 + -40 Combine like terms: 12 + -40 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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