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Simplifying 2y + 3y + -6(y + 2) = y + 6 Reorder the terms: 2y + 3y + -6(2 + y) = y + 6 2y + 3y + (2 * -6 + y * -6) = y + 6 2y + 3y + (-12 + -6y) = y + 6 Reorder the terms: -12 + 2y + 3y + -6y = y + 6 Combine like terms: 2y + 3y = 5y -12 + 5y + -6y = y + 6 Combine like terms: 5y + -6y = -1y -12 + -1y = y + 6 Reorder the terms: -12 + -1y = 6 + y Solving -12 + -1y = 6 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -12 + -1y + -1y = 6 + y + -1y Combine like terms: -1y + -1y = -2y -12 + -2y = 6 + y + -1y Combine like terms: y + -1y = 0 -12 + -2y = 6 + 0 -12 + -2y = 6 Add '12' to each side of the equation. -12 + 12 + -2y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 6 + 12 -2y = 6 + 12 Combine like terms: 6 + 12 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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