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Simplifying -71 + 7y + 6 = 5(3y + -5) + -8 Reorder the terms: -71 + 6 + 7y = 5(3y + -5) + -8 Combine like terms: -71 + 6 = -65 -65 + 7y = 5(3y + -5) + -8 Reorder the terms: -65 + 7y = 5(-5 + 3y) + -8 -65 + 7y = (-5 * 5 + 3y * 5) + -8 -65 + 7y = (-25 + 15y) + -8 Reorder the terms: -65 + 7y = -25 + -8 + 15y Combine like terms: -25 + -8 = -33 -65 + 7y = -33 + 15y Solving -65 + 7y = -33 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -65 + 7y + -15y = -33 + 15y + -15y Combine like terms: 7y + -15y = -8y -65 + -8y = -33 + 15y + -15y Combine like terms: 15y + -15y = 0 -65 + -8y = -33 + 0 -65 + -8y = -33 Add '65' to each side of the equation. -65 + 65 + -8y = -33 + 65 Combine like terms: -65 + 65 = 0 0 + -8y = -33 + 65 -8y = -33 + 65 Combine like terms: -33 + 65 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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