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Simplifying 8 + 5(3y + -4) = 7(y + -12) Reorder the terms: 8 + 5(-4 + 3y) = 7(y + -12) 8 + (-4 * 5 + 3y * 5) = 7(y + -12) 8 + (-20 + 15y) = 7(y + -12) Combine like terms: 8 + -20 = -12 -12 + 15y = 7(y + -12) Reorder the terms: -12 + 15y = 7(-12 + y) -12 + 15y = (-12 * 7 + y * 7) -12 + 15y = (-84 + 7y) Solving -12 + 15y = -84 + 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. -12 + 15y + -7y = -84 + 7y + -7y Combine like terms: 15y + -7y = 8y -12 + 8y = -84 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + 8y = -84 + 0 -12 + 8y = -84 Add '12' to each side of the equation. -12 + 12 + 8y = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = -84 + 12 8y = -84 + 12 Combine like terms: -84 + 12 = -72 8y = -72 Divide each side by '8'. y = -9 Simplifying y = -9
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