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Simplifying 3(y + -4) = 2(y + 6) + -3(y + 7) Reorder the terms: 3(-4 + y) = 2(y + 6) + -3(y + 7) (-4 * 3 + y * 3) = 2(y + 6) + -3(y + 7) (-12 + 3y) = 2(y + 6) + -3(y + 7) Reorder the terms: -12 + 3y = 2(6 + y) + -3(y + 7) -12 + 3y = (6 * 2 + y * 2) + -3(y + 7) -12 + 3y = (12 + 2y) + -3(y + 7) Reorder the terms: -12 + 3y = 12 + 2y + -3(7 + y) -12 + 3y = 12 + 2y + (7 * -3 + y * -3) -12 + 3y = 12 + 2y + (-21 + -3y) Reorder the terms: -12 + 3y = 12 + -21 + 2y + -3y Combine like terms: 12 + -21 = -9 -12 + 3y = -9 + 2y + -3y Combine like terms: 2y + -3y = -1y -12 + 3y = -9 + -1y Solving -12 + 3y = -9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -12 + 3y + y = -9 + -1y + y Combine like terms: 3y + y = 4y -12 + 4y = -9 + -1y + y Combine like terms: -1y + y = 0 -12 + 4y = -9 + 0 -12 + 4y = -9 Add '12' to each side of the equation. -12 + 12 + 4y = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = -9 + 12 4y = -9 + 12 Combine like terms: -9 + 12 = 3 4y = 3 Divide each side by '4'. y = 0.75 Simplifying y = 0.75
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