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Simplifying -68 + 8y + 9 = 5(3y + -4) + -4 Reorder the terms: -68 + 9 + 8y = 5(3y + -4) + -4 Combine like terms: -68 + 9 = -59 -59 + 8y = 5(3y + -4) + -4 Reorder the terms: -59 + 8y = 5(-4 + 3y) + -4 -59 + 8y = (-4 * 5 + 3y * 5) + -4 -59 + 8y = (-20 + 15y) + -4 Reorder the terms: -59 + 8y = -20 + -4 + 15y Combine like terms: -20 + -4 = -24 -59 + 8y = -24 + 15y Solving -59 + 8y = -24 + 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. -59 + 8y + -15y = -24 + 15y + -15y Combine like terms: 8y + -15y = -7y -59 + -7y = -24 + 15y + -15y Combine like terms: 15y + -15y = 0 -59 + -7y = -24 + 0 -59 + -7y = -24 Add '59' to each side of the equation. -59 + 59 + -7y = -24 + 59 Combine like terms: -59 + 59 = 0 0 + -7y = -24 + 59 -7y = -24 + 59 Combine like terms: -24 + 59 = 35 -7y = 35 Divide each side by '-7'. y = -5 Simplifying y = -5
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