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Simplifying 4(y + -3) = 2(y + 8) Reorder the terms: 4(-3 + y) = 2(y + 8) (-3 * 4 + y * 4) = 2(y + 8) (-12 + 4y) = 2(y + 8) Reorder the terms: -12 + 4y = 2(8 + y) -12 + 4y = (8 * 2 + y * 2) -12 + 4y = (16 + 2y) Solving -12 + 4y = 16 + 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 = 16 + 2y + -2y Combine like terms: 4y + -2y = 2y -12 + 2y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 2y = 16 + 0 -12 + 2y = 16 Add '12' to each side of the equation. -12 + 12 + 2y = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 16 + 12 2y = 16 + 12 Combine like terms: 16 + 12 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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