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Simplifying -4y + 45 = 9(y + -8) Reorder the terms: 45 + -4y = 9(y + -8) Reorder the terms: 45 + -4y = 9(-8 + y) 45 + -4y = (-8 * 9 + y * 9) 45 + -4y = (-72 + 9y) Solving 45 + -4y = -72 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 45 + -4y + -9y = -72 + 9y + -9y Combine like terms: -4y + -9y = -13y 45 + -13y = -72 + 9y + -9y Combine like terms: 9y + -9y = 0 45 + -13y = -72 + 0 45 + -13y = -72 Add '-45' to each side of the equation. 45 + -45 + -13y = -72 + -45 Combine like terms: 45 + -45 = 0 0 + -13y = -72 + -45 -13y = -72 + -45 Combine like terms: -72 + -45 = -117 -13y = -117 Divide each side by '-13'. y = 9 Simplifying y = 9
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