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Simplifying 12 = 2y + 8(y + -6) Reorder the terms: 12 = 2y + 8(-6 + y) 12 = 2y + (-6 * 8 + y * 8) 12 = 2y + (-48 + 8y) Reorder the terms: 12 = -48 + 2y + 8y Combine like terms: 2y + 8y = 10y 12 = -48 + 10y Solving 12 = -48 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 12 + -10y = -48 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -10y = -48 + 0 12 + -10y = -48 Add '-12' to each side of the equation. 12 + -12 + -10y = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = -48 + -12 -10y = -48 + -12 Combine like terms: -48 + -12 = -60 -10y = -60 Divide each side by '-10'. y = 6 Simplifying y = 6
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