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Simplifying 5(y + -6) + -7 = -5(-4y + 8) + -9y Reorder the terms: 5(-6 + y) + -7 = -5(-4y + 8) + -9y (-6 * 5 + y * 5) + -7 = -5(-4y + 8) + -9y (-30 + 5y) + -7 = -5(-4y + 8) + -9y Reorder the terms: -30 + -7 + 5y = -5(-4y + 8) + -9y Combine like terms: -30 + -7 = -37 -37 + 5y = -5(-4y + 8) + -9y Reorder the terms: -37 + 5y = -5(8 + -4y) + -9y -37 + 5y = (8 * -5 + -4y * -5) + -9y -37 + 5y = (-40 + 20y) + -9y Combine like terms: 20y + -9y = 11y -37 + 5y = -40 + 11y Solving -37 + 5y = -40 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -37 + 5y + -11y = -40 + 11y + -11y Combine like terms: 5y + -11y = -6y -37 + -6y = -40 + 11y + -11y Combine like terms: 11y + -11y = 0 -37 + -6y = -40 + 0 -37 + -6y = -40 Add '37' to each side of the equation. -37 + 37 + -6y = -40 + 37 Combine like terms: -37 + 37 = 0 0 + -6y = -40 + 37 -6y = -40 + 37 Combine like terms: -40 + 37 = -3 -6y = -3 Divide each side by '-6'. y = 0.5 Simplifying y = 0.5
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