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Simplifying 4(y + -3) = 3[y + 2(y + 2)] Reorder the terms: 4(-3 + y) = 3[y + 2(y + 2)] (-3 * 4 + y * 4) = 3[y + 2(y + 2)] (-12 + 4y) = 3[y + 2(y + 2)] Reorder the terms: -12 + 4y = 3[y + 2(2 + y)] -12 + 4y = 3[y + (2 * 2 + y * 2)] -12 + 4y = 3[y + (4 + 2y)] Reorder the terms: -12 + 4y = 3[4 + y + 2y] Combine like terms: y + 2y = 3y -12 + 4y = 3[4 + 3y] -12 + 4y = [4 * 3 + 3y * 3] -12 + 4y = [12 + 9y] Solving -12 + 4y = 12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -12 + 4y + -9y = 12 + 9y + -9y Combine like terms: 4y + -9y = -5y -12 + -5y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 -12 + -5y = 12 + 0 -12 + -5y = 12 Add '12' to each side of the equation. -12 + 12 + -5y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -5y = 12 + 12 -5y = 12 + 12 Combine like terms: 12 + 12 = 24 -5y = 24 Divide each side by '-5'. y = -4.8 Simplifying y = -4.8
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