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Simplifying -8y + 12 = -5(y + -3) Reorder the terms: 12 + -8y = -5(y + -3) Reorder the terms: 12 + -8y = -5(-3 + y) 12 + -8y = (-3 * -5 + y * -5) 12 + -8y = (15 + -5y) Solving 12 + -8y = 15 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 12 + -8y + 5y = 15 + -5y + 5y Combine like terms: -8y + 5y = -3y 12 + -3y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + -3y = 15 + 0 12 + -3y = 15 Add '-12' to each side of the equation. 12 + -12 + -3y = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 15 + -12 -3y = 15 + -12 Combine like terms: 15 + -12 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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