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Simplifying 2y + 3(y + -4) = 2(y + -3) Reorder the terms: 2y + 3(-4 + y) = 2(y + -3) 2y + (-4 * 3 + y * 3) = 2(y + -3) 2y + (-12 + 3y) = 2(y + -3) Reorder the terms: -12 + 2y + 3y = 2(y + -3) Combine like terms: 2y + 3y = 5y -12 + 5y = 2(y + -3) Reorder the terms: -12 + 5y = 2(-3 + y) -12 + 5y = (-3 * 2 + y * 2) -12 + 5y = (-6 + 2y) Solving -12 + 5y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 5y + -2y = -6 + 2y + -2y Combine like terms: 5y + -2y = 3y -12 + 3y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 3y = -6 + 0 -12 + 3y = -6 Add '12' to each side of the equation. -12 + 12 + 3y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = -6 + 12 3y = -6 + 12 Combine like terms: -6 + 12 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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