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Simplifying -6y + -4(4y + -9) = 7 + 5(-8 + -1y) Reorder the terms: -6y + -4(-9 + 4y) = 7 + 5(-8 + -1y) -6y + (-9 * -4 + 4y * -4) = 7 + 5(-8 + -1y) -6y + (36 + -16y) = 7 + 5(-8 + -1y) Reorder the terms: 36 + -6y + -16y = 7 + 5(-8 + -1y) Combine like terms: -6y + -16y = -22y 36 + -22y = 7 + 5(-8 + -1y) 36 + -22y = 7 + (-8 * 5 + -1y * 5) 36 + -22y = 7 + (-40 + -5y) Combine like terms: 7 + -40 = -33 36 + -22y = -33 + -5y Solving 36 + -22y = -33 + -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. 36 + -22y + 5y = -33 + -5y + 5y Combine like terms: -22y + 5y = -17y 36 + -17y = -33 + -5y + 5y Combine like terms: -5y + 5y = 0 36 + -17y = -33 + 0 36 + -17y = -33 Add '-36' to each side of the equation. 36 + -36 + -17y = -33 + -36 Combine like terms: 36 + -36 = 0 0 + -17y = -33 + -36 -17y = -33 + -36 Combine like terms: -33 + -36 = -69 -17y = -69 Divide each side by '-17'. y = 4.058823529 Simplifying y = 4.058823529
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