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Simplifying -5y + 12 = -8(y + -3) Reorder the terms: 12 + -5y = -8(y + -3) Reorder the terms: 12 + -5y = -8(-3 + y) 12 + -5y = (-3 * -8 + y * -8) 12 + -5y = (24 + -8y) Solving 12 + -5y = 24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + -5y + 8y = 24 + -8y + 8y Combine like terms: -5y + 8y = 3y 12 + 3y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 3y = 24 + 0 12 + 3y = 24 Add '-12' to each side of the equation. 12 + -12 + 3y = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 24 + -12 3y = 24 + -12 Combine like terms: 24 + -12 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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