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Simplifying 5(y + -6) + -4 = -5(-5y + 8) + -6y Reorder the terms: 5(-6 + y) + -4 = -5(-5y + 8) + -6y (-6 * 5 + y * 5) + -4 = -5(-5y + 8) + -6y (-30 + 5y) + -4 = -5(-5y + 8) + -6y Reorder the terms: -30 + -4 + 5y = -5(-5y + 8) + -6y Combine like terms: -30 + -4 = -34 -34 + 5y = -5(-5y + 8) + -6y Reorder the terms: -34 + 5y = -5(8 + -5y) + -6y -34 + 5y = (8 * -5 + -5y * -5) + -6y -34 + 5y = (-40 + 25y) + -6y Combine like terms: 25y + -6y = 19y -34 + 5y = -40 + 19y Solving -34 + 5y = -40 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -34 + 5y + -19y = -40 + 19y + -19y Combine like terms: 5y + -19y = -14y -34 + -14y = -40 + 19y + -19y Combine like terms: 19y + -19y = 0 -34 + -14y = -40 + 0 -34 + -14y = -40 Add '34' to each side of the equation. -34 + 34 + -14y = -40 + 34 Combine like terms: -34 + 34 = 0 0 + -14y = -40 + 34 -14y = -40 + 34 Combine like terms: -40 + 34 = -6 -14y = -6 Divide each side by '-14'. y = 0.4285714286 Simplifying y = 0.4285714286
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