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Simplifying -2y + 12 = -2(3y + 10) Reorder the terms: 12 + -2y = -2(3y + 10) Reorder the terms: 12 + -2y = -2(10 + 3y) 12 + -2y = (10 * -2 + 3y * -2) 12 + -2y = (-20 + -6y) Solving 12 + -2y = -20 + -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 = -20 + -6y + 6y Combine like terms: -2y + 6y = 4y 12 + 4y = -20 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 4y = -20 + 0 12 + 4y = -20 Add '-12' to each side of the equation. 12 + -12 + 4y = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -20 + -12 4y = -20 + -12 Combine like terms: -20 + -12 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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