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Simplifying 9y + 5(-7y + -4) = -19 + -15 + -12y Reorder the terms: 9y + 5(-4 + -7y) = -19 + -15 + -12y 9y + (-4 * 5 + -7y * 5) = -19 + -15 + -12y 9y + (-20 + -35y) = -19 + -15 + -12y Reorder the terms: -20 + 9y + -35y = -19 + -15 + -12y Combine like terms: 9y + -35y = -26y -20 + -26y = -19 + -15 + -12y Combine like terms: -19 + -15 = -34 -20 + -26y = -34 + -12y Solving -20 + -26y = -34 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -20 + -26y + 12y = -34 + -12y + 12y Combine like terms: -26y + 12y = -14y -20 + -14y = -34 + -12y + 12y Combine like terms: -12y + 12y = 0 -20 + -14y = -34 + 0 -20 + -14y = -34 Add '20' to each side of the equation. -20 + 20 + -14y = -34 + 20 Combine like terms: -20 + 20 = 0 0 + -14y = -34 + 20 -14y = -34 + 20 Combine like terms: -34 + 20 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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