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Simplifying 3y + 2(y + -3) = 4(y + -3) Reorder the terms: 3y + 2(-3 + y) = 4(y + -3) 3y + (-3 * 2 + y * 2) = 4(y + -3) 3y + (-6 + 2y) = 4(y + -3) Reorder the terms: -6 + 3y + 2y = 4(y + -3) Combine like terms: 3y + 2y = 5y -6 + 5y = 4(y + -3) Reorder the terms: -6 + 5y = 4(-3 + y) -6 + 5y = (-3 * 4 + y * 4) -6 + 5y = (-12 + 4y) Solving -6 + 5y = -12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + 5y + -4y = -12 + 4y + -4y Combine like terms: 5y + -4y = 1y -6 + 1y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 1y = -12 + 0 -6 + 1y = -12 Add '6' to each side of the equation. -6 + 6 + 1y = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = -12 + 6 1y = -12 + 6 Combine like terms: -12 + 6 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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