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Simplifying 3(y + -8) + 12 = 4(y + 6) Reorder the terms: 3(-8 + y) + 12 = 4(y + 6) (-8 * 3 + y * 3) + 12 = 4(y + 6) (-24 + 3y) + 12 = 4(y + 6) Reorder the terms: -24 + 12 + 3y = 4(y + 6) Combine like terms: -24 + 12 = -12 -12 + 3y = 4(y + 6) Reorder the terms: -12 + 3y = 4(6 + y) -12 + 3y = (6 * 4 + y * 4) -12 + 3y = (24 + 4y) Solving -12 + 3y = 24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 3y + -4y = 24 + 4y + -4y Combine like terms: 3y + -4y = -1y -12 + -1y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + -1y = 24 + 0 -12 + -1y = 24 Add '12' to each side of the equation. -12 + 12 + -1y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 24 + 12 -1y = 24 + 12 Combine like terms: 24 + 12 = 36 -1y = 36 Divide each side by '-1'. y = -36 Simplifying y = -36
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