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Simplifying 4(y + -3) + y = 6y + -9 Reorder the terms: 4(-3 + y) + y = 6y + -9 (-3 * 4 + y * 4) + y = 6y + -9 (-12 + 4y) + y = 6y + -9 Combine like terms: 4y + y = 5y -12 + 5y = 6y + -9 Reorder the terms: -12 + 5y = -9 + 6y Solving -12 + 5y = -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. -12 + 5y + -6y = -9 + 6y + -6y Combine like terms: 5y + -6y = -1y -12 + -1y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -1y = -9 + 0 -12 + -1y = -9 Add '12' to each side of the equation. -12 + 12 + -1y = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = -9 + 12 -1y = -9 + 12 Combine like terms: -9 + 12 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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