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Simplifying 4(y + -2) + 3(y + -12) = -2(Y + 28) Reorder the terms: 4(-2 + y) + 3(y + -12) = -2(Y + 28) (-2 * 4 + y * 4) + 3(y + -12) = -2(Y + 28) (-8 + 4y) + 3(y + -12) = -2(Y + 28) Reorder the terms: -8 + 4y + 3(-12 + y) = -2(Y + 28) -8 + 4y + (-12 * 3 + y * 3) = -2(Y + 28) -8 + 4y + (-36 + 3y) = -2(Y + 28) Reorder the terms: -8 + -36 + 4y + 3y = -2(Y + 28) Combine like terms: -8 + -36 = -44 -44 + 4y + 3y = -2(Y + 28) Combine like terms: 4y + 3y = 7y -44 + 7y = -2(Y + 28) Reorder the terms: -44 + 7y = -2(28 + Y) -44 + 7y = (28 * -2 + Y * -2) -44 + 7y = (-56 + -2Y) Solving -44 + 7y = -56 + -2Y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 7y = -56 + 44 + -2Y Combine like terms: -44 + 44 = 0 0 + 7y = -56 + 44 + -2Y 7y = -56 + 44 + -2Y Combine like terms: -56 + 44 = -12 7y = -12 + -2Y Divide each side by '7'. y = -1.714285714 + -0.2857142857Y Simplifying y = -1.714285714 + -0.2857142857Y
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