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Simplifying 6(y + -2) = 6y + 2 + -2(2y + -6) Reorder the terms: 6(-2 + y) = 6y + 2 + -2(2y + -6) (-2 * 6 + y * 6) = 6y + 2 + -2(2y + -6) (-12 + 6y) = 6y + 2 + -2(2y + -6) Reorder the terms: -12 + 6y = 6y + 2 + -2(-6 + 2y) -12 + 6y = 6y + 2 + (-6 * -2 + 2y * -2) -12 + 6y = 6y + 2 + (12 + -4y) Reorder the terms: -12 + 6y = 2 + 12 + 6y + -4y Combine like terms: 2 + 12 = 14 -12 + 6y = 14 + 6y + -4y Combine like terms: 6y + -4y = 2y -12 + 6y = 14 + 2y Solving -12 + 6y = 14 + 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. -12 + 6y + -2y = 14 + 2y + -2y Combine like terms: 6y + -2y = 4y -12 + 4y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 4y = 14 + 0 -12 + 4y = 14 Add '12' to each side of the equation. -12 + 12 + 4y = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 14 + 12 4y = 14 + 12 Combine like terms: 14 + 12 = 26 4y = 26 Divide each side by '4'. y = 6.5 Simplifying y = 6.5
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