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Simplifying 3(y + -1) = y + 3 + -2(-3y + -4) Reorder the terms: 3(-1 + y) = y + 3 + -2(-3y + -4) (-1 * 3 + y * 3) = y + 3 + -2(-3y + -4) (-3 + 3y) = y + 3 + -2(-3y + -4) Reorder the terms: -3 + 3y = y + 3 + -2(-4 + -3y) -3 + 3y = y + 3 + (-4 * -2 + -3y * -2) -3 + 3y = y + 3 + (8 + 6y) Reorder the terms: -3 + 3y = 3 + 8 + y + 6y Combine like terms: 3 + 8 = 11 -3 + 3y = 11 + y + 6y Combine like terms: y + 6y = 7y -3 + 3y = 11 + 7y Solving -3 + 3y = 11 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -3 + 3y + -7y = 11 + 7y + -7y Combine like terms: 3y + -7y = -4y -3 + -4y = 11 + 7y + -7y Combine like terms: 7y + -7y = 0 -3 + -4y = 11 + 0 -3 + -4y = 11 Add '3' to each side of the equation. -3 + 3 + -4y = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 11 + 3 -4y = 11 + 3 Combine like terms: 11 + 3 = 14 -4y = 14 Divide each side by '-4'. y = -3.5 Simplifying y = -3.5
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