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Simplifying 4(y + -3) + -2(y + -7) = 0 Reorder the terms: 4(-3 + y) + -2(y + -7) = 0 (-3 * 4 + y * 4) + -2(y + -7) = 0 (-12 + 4y) + -2(y + -7) = 0 Reorder the terms: -12 + 4y + -2(-7 + y) = 0 -12 + 4y + (-7 * -2 + y * -2) = 0 -12 + 4y + (14 + -2y) = 0 Reorder the terms: -12 + 14 + 4y + -2y = 0 Combine like terms: -12 + 14 = 2 2 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 2 + 2y = 0 Solving 2 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 0 + -2 2y = 0 + -2 Combine like terms: 0 + -2 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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