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Simplifying -3y + 8 = 2(y + -6) Reorder the terms: 8 + -3y = 2(y + -6) Reorder the terms: 8 + -3y = 2(-6 + y) 8 + -3y = (-6 * 2 + y * 2) 8 + -3y = (-12 + 2y) Solving 8 + -3y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + -3y + -2y = -12 + 2y + -2y Combine like terms: -3y + -2y = -5y 8 + -5y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -5y = -12 + 0 8 + -5y = -12 Add '-8' to each side of the equation. 8 + -8 + -5y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = -12 + -8 -5y = -12 + -8 Combine like terms: -12 + -8 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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