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Simplifying -91 + 8y + 7 = 5(3y + -4) + -8 Reorder the terms: -91 + 7 + 8y = 5(3y + -4) + -8 Combine like terms: -91 + 7 = -84 -84 + 8y = 5(3y + -4) + -8 Reorder the terms: -84 + 8y = 5(-4 + 3y) + -8 -84 + 8y = (-4 * 5 + 3y * 5) + -8 -84 + 8y = (-20 + 15y) + -8 Reorder the terms: -84 + 8y = -20 + -8 + 15y Combine like terms: -20 + -8 = -28 -84 + 8y = -28 + 15y Solving -84 + 8y = -28 + 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. -84 + 8y + -15y = -28 + 15y + -15y Combine like terms: 8y + -15y = -7y -84 + -7y = -28 + 15y + -15y Combine like terms: 15y + -15y = 0 -84 + -7y = -28 + 0 -84 + -7y = -28 Add '84' to each side of the equation. -84 + 84 + -7y = -28 + 84 Combine like terms: -84 + 84 = 0 0 + -7y = -28 + 84 -7y = -28 + 84 Combine like terms: -28 + 84 = 56 -7y = 56 Divide each side by '-7'. y = -8 Simplifying y = -8
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