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Simplifying 2y + 12 = 2(2y + -3) Reorder the terms: 12 + 2y = 2(2y + -3) Reorder the terms: 12 + 2y = 2(-3 + 2y) 12 + 2y = (-3 * 2 + 2y * 2) 12 + 2y = (-6 + 4y) Solving 12 + 2y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + 2y + -4y = -6 + 4y + -4y Combine like terms: 2y + -4y = -2y 12 + -2y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -2y = -6 + 0 12 + -2y = -6 Add '-12' to each side of the equation. 12 + -12 + -2y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = -6 + -12 -2y = -6 + -12 Combine like terms: -6 + -12 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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