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Simplifying -5(y + 8) = 6y + -7 Reorder the terms: -5(8 + y) = 6y + -7 (8 * -5 + y * -5) = 6y + -7 (-40 + -5y) = 6y + -7 Reorder the terms: -40 + -5y = -7 + 6y Solving -40 + -5y = -7 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -40 + -5y + -6y = -7 + 6y + -6y Combine like terms: -5y + -6y = -11y -40 + -11y = -7 + 6y + -6y Combine like terms: 6y + -6y = 0 -40 + -11y = -7 + 0 -40 + -11y = -7 Add '40' to each side of the equation. -40 + 40 + -11y = -7 + 40 Combine like terms: -40 + 40 = 0 0 + -11y = -7 + 40 -11y = -7 + 40 Combine like terms: -7 + 40 = 33 -11y = 33 Divide each side by '-11'. y = -3 Simplifying y = -3
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