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Simplifying 8y + -2 = 2(3y + -6) Reorder the terms: -2 + 8y = 2(3y + -6) Reorder the terms: -2 + 8y = 2(-6 + 3y) -2 + 8y = (-6 * 2 + 3y * 2) -2 + 8y = (-12 + 6y) Solving -2 + 8y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -2 + 8y + -6y = -12 + 6y + -6y Combine like terms: 8y + -6y = 2y -2 + 2y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -2 + 2y = -12 + 0 -2 + 2y = -12 Add '2' to each side of the equation. -2 + 2 + 2y = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = -12 + 2 2y = -12 + 2 Combine like terms: -12 + 2 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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