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Simplifying -4y + 19 = -9(y + -6) Reorder the terms: 19 + -4y = -9(y + -6) Reorder the terms: 19 + -4y = -9(-6 + y) 19 + -4y = (-6 * -9 + y * -9) 19 + -4y = (54 + -9y) Solving 19 + -4y = 54 + -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. 19 + -4y + 9y = 54 + -9y + 9y Combine like terms: -4y + 9y = 5y 19 + 5y = 54 + -9y + 9y Combine like terms: -9y + 9y = 0 19 + 5y = 54 + 0 19 + 5y = 54 Add '-19' to each side of the equation. 19 + -19 + 5y = 54 + -19 Combine like terms: 19 + -19 = 0 0 + 5y = 54 + -19 5y = 54 + -19 Combine like terms: 54 + -19 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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