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Simplifying -2y + 12 = 2(3y + 2) Reorder the terms: 12 + -2y = 2(3y + 2) Reorder the terms: 12 + -2y = 2(2 + 3y) 12 + -2y = (2 * 2 + 3y * 2) 12 + -2y = (4 + 6y) Solving 12 + -2y = 4 + 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. 12 + -2y + -6y = 4 + 6y + -6y Combine like terms: -2y + -6y = -8y 12 + -8y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -8y = 4 + 0 12 + -8y = 4 Add '-12' to each side of the equation. 12 + -12 + -8y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = 4 + -12 -8y = 4 + -12 Combine like terms: 4 + -12 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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