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Simplifying -6 + y = -8 + -5(8 + -1y) -6 + y = -8 + (8 * -5 + -1y * -5) -6 + y = -8 + (-40 + 5y) Combine like terms: -8 + -40 = -48 -6 + y = -48 + 5y Solving -6 + y = -48 + 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. -6 + y + -5y = -48 + 5y + -5y Combine like terms: y + -5y = -4y -6 + -4y = -48 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + -4y = -48 + 0 -6 + -4y = -48 Add '6' to each side of the equation. -6 + 6 + -4y = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -4y = -48 + 6 -4y = -48 + 6 Combine like terms: -48 + 6 = -42 -4y = -42 Divide each side by '-4'. y = 10.5 Simplifying y = 10.5
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