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Simplifying 3(y + -4) = 7(y + 2) + -6 Reorder the terms: 3(-4 + y) = 7(y + 2) + -6 (-4 * 3 + y * 3) = 7(y + 2) + -6 (-12 + 3y) = 7(y + 2) + -6 Reorder the terms: -12 + 3y = 7(2 + y) + -6 -12 + 3y = (2 * 7 + y * 7) + -6 -12 + 3y = (14 + 7y) + -6 Reorder the terms: -12 + 3y = 14 + -6 + 7y Combine like terms: 14 + -6 = 8 -12 + 3y = 8 + 7y Solving -12 + 3y = 8 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -12 + 3y + -7y = 8 + 7y + -7y Combine like terms: 3y + -7y = -4y -12 + -4y = 8 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + -4y = 8 + 0 -12 + -4y = 8 Add '12' to each side of the equation. -12 + 12 + -4y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 8 + 12 -4y = 8 + 12 Combine like terms: 8 + 12 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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