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Simplifying 4(y + -3) + 9 = 6y + -9 Reorder the terms: 4(-3 + y) + 9 = 6y + -9 (-3 * 4 + y * 4) + 9 = 6y + -9 (-12 + 4y) + 9 = 6y + -9 Reorder the terms: -12 + 9 + 4y = 6y + -9 Combine like terms: -12 + 9 = -3 -3 + 4y = 6y + -9 Reorder the terms: -3 + 4y = -9 + 6y Solving -3 + 4y = -9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -3 + 4y + -6y = -9 + 6y + -6y Combine like terms: 4y + -6y = -2y -3 + -2y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + -2y = -9 + 0 -3 + -2y = -9 Add '3' to each side of the equation. -3 + 3 + -2y = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = -9 + 3 -2y = -9 + 3 Combine like terms: -9 + 3 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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