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Simplifying -4y + 24 = 4(2y + -3) Reorder the terms: 24 + -4y = 4(2y + -3) Reorder the terms: 24 + -4y = 4(-3 + 2y) 24 + -4y = (-3 * 4 + 2y * 4) 24 + -4y = (-12 + 8y) Solving 24 + -4y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 24 + -4y + -8y = -12 + 8y + -8y Combine like terms: -4y + -8y = -12y 24 + -12y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -12y = -12 + 0 24 + -12y = -12 Add '-24' to each side of the equation. 24 + -24 + -12y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -12y = -12 + -24 -12y = -12 + -24 Combine like terms: -12 + -24 = -36 -12y = -36 Divide each side by '-12'. y = 3 Simplifying y = 3
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