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Simplifying 12 + -2y = 8(y + 4) Reorder the terms: 12 + -2y = 8(4 + y) 12 + -2y = (4 * 8 + y * 8) 12 + -2y = (32 + 8y) Solving 12 + -2y = 32 + 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 + -2y + -8y = 32 + 8y + -8y Combine like terms: -2y + -8y = -10y 12 + -10y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -10y = 32 + 0 12 + -10y = 32 Add '-12' to each side of the equation. 12 + -12 + -10y = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = 32 + -12 -10y = 32 + -12 Combine like terms: 32 + -12 = 20 -10y = 20 Divide each side by '-10'. y = -2 Simplifying y = -2
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