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