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Simplifying 2y + 12 = 4[y + -3] Reorder the terms: 12 + 2y = 4[y + -3] Reorder the terms: 12 + 2y = 4[-3 + y] 12 + 2y = [-3 * 4 + y * 4] 12 + 2y = [-12 + 4y] Solving 12 + 2y = -12 + 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 = -12 + 4y + -4y Combine like terms: 2y + -4y = -2y 12 + -2y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -2y = -12 + 0 12 + -2y = -12 Add '-12' to each side of the equation. 12 + -12 + -2y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = -12 + -12 -2y = -12 + -12 Combine like terms: -12 + -12 = -24 -2y = -24 Divide each side by '-2'. y = 12 Simplifying y = 12
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