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Simplifying -9y + 38 = -5(y + -6) Reorder the terms: 38 + -9y = -5(y + -6) Reorder the terms: 38 + -9y = -5(-6 + y) 38 + -9y = (-6 * -5 + y * -5) 38 + -9y = (30 + -5y) Solving 38 + -9y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 38 + -9y + 5y = 30 + -5y + 5y Combine like terms: -9y + 5y = -4y 38 + -4y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 38 + -4y = 30 + 0 38 + -4y = 30 Add '-38' to each side of the equation. 38 + -38 + -4y = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -4y = 30 + -38 -4y = 30 + -38 Combine like terms: 30 + -38 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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