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Simplifying 5(y + -8) + -5 = -6(-4 + 8) + -7y Reorder the terms: 5(-8 + y) + -5 = -6(-4 + 8) + -7y (-8 * 5 + y * 5) + -5 = -6(-4 + 8) + -7y (-40 + 5y) + -5 = -6(-4 + 8) + -7y Reorder the terms: -40 + -5 + 5y = -6(-4 + 8) + -7y Combine like terms: -40 + -5 = -45 -45 + 5y = -6(-4 + 8) + -7y Combine like terms: -4 + 8 = 4 -45 + 5y = -6(4) + -7y Multiply -6 * 4 -45 + 5y = -24 + -7y Solving -45 + 5y = -24 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -45 + 5y + 7y = -24 + -7y + 7y Combine like terms: 5y + 7y = 12y -45 + 12y = -24 + -7y + 7y Combine like terms: -7y + 7y = 0 -45 + 12y = -24 + 0 -45 + 12y = -24 Add '45' to each side of the equation. -45 + 45 + 12y = -24 + 45 Combine like terms: -45 + 45 = 0 0 + 12y = -24 + 45 12y = -24 + 45 Combine like terms: -24 + 45 = 21 12y = 21 Divide each side by '12'. y = 1.75 Simplifying y = 1.75
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