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Simplifying 8(y + -5) + 4y = -9(y + 6) Reorder the terms: 8(-5 + y) + 4y = -9(y + 6) (-5 * 8 + y * 8) + 4y = -9(y + 6) (-40 + 8y) + 4y = -9(y + 6) Combine like terms: 8y + 4y = 12y -40 + 12y = -9(y + 6) Reorder the terms: -40 + 12y = -9(6 + y) -40 + 12y = (6 * -9 + y * -9) -40 + 12y = (-54 + -9y) Solving -40 + 12y = -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. -40 + 12y + 9y = -54 + -9y + 9y Combine like terms: 12y + 9y = 21y -40 + 21y = -54 + -9y + 9y Combine like terms: -9y + 9y = 0 -40 + 21y = -54 + 0 -40 + 21y = -54 Add '40' to each side of the equation. -40 + 40 + 21y = -54 + 40 Combine like terms: -40 + 40 = 0 0 + 21y = -54 + 40 21y = -54 + 40 Combine like terms: -54 + 40 = -14 21y = -14 Divide each side by '21'. y = -0.6666666667 Simplifying y = -0.6666666667
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