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