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Simplifying 4y + 12 = -4(2y + 3) Reorder the terms: 12 + 4y = -4(2y + 3) Reorder the terms: 12 + 4y = -4(3 + 2y) 12 + 4y = (3 * -4 + 2y * -4) 12 + 4y = (-12 + -8y) Solving 12 + 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. 12 + 4y + 8y = -12 + -8y + 8y Combine like terms: 4y + 8y = 12y 12 + 12y = -12 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 12y = -12 + 0 12 + 12y = -12 Add '-12' to each side of the equation. 12 + -12 + 12y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 12y = -12 + -12 12y = -12 + -12 Combine like terms: -12 + -12 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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