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Simplifying 3(y + 8) = 4(y + -3) Reorder the terms: 3(8 + y) = 4(y + -3) (8 * 3 + y * 3) = 4(y + -3) (24 + 3y) = 4(y + -3) Reorder the terms: 24 + 3y = 4(-3 + y) 24 + 3y = (-3 * 4 + y * 4) 24 + 3y = (-12 + 4y) Solving 24 + 3y = -12 + 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. 24 + 3y + -4y = -12 + 4y + -4y Combine like terms: 3y + -4y = -1y 24 + -1y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 24 + -1y = -12 + 0 24 + -1y = -12 Add '-24' to each side of the equation. 24 + -24 + -1y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = -12 + -24 -1y = -12 + -24 Combine like terms: -12 + -24 = -36 -1y = -36 Divide each side by '-1'. y = 36 Simplifying y = 36
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