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Simplifying 6(y + -2) = 8y + 12 Reorder the terms: 6(-2 + y) = 8y + 12 (-2 * 6 + y * 6) = 8y + 12 (-12 + 6y) = 8y + 12 Reorder the terms: -12 + 6y = 12 + 8y Solving -12 + 6y = 12 + 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 + 6y + -8y = 12 + 8y + -8y Combine like terms: 6y + -8y = -2y -12 + -2y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 -12 + -2y = 12 + 0 -12 + -2y = 12 Add '12' to each side of the equation. -12 + 12 + -2y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 12 + 12 -2y = 12 + 12 Combine like terms: 12 + 12 = 24 -2y = 24 Divide each side by '-2'. y = -12 Simplifying y = -12
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