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Simplifying -3(y + -1) + 2 = 4(y + -3) Reorder the terms: -3(-1 + y) + 2 = 4(y + -3) (-1 * -3 + y * -3) + 2 = 4(y + -3) (3 + -3y) + 2 = 4(y + -3) Reorder the terms: 3 + 2 + -3y = 4(y + -3) Combine like terms: 3 + 2 = 5 5 + -3y = 4(y + -3) Reorder the terms: 5 + -3y = 4(-3 + y) 5 + -3y = (-3 * 4 + y * 4) 5 + -3y = (-12 + 4y) Solving 5 + -3y = -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. 5 + -3y + -4y = -12 + 4y + -4y Combine like terms: -3y + -4y = -7y 5 + -7y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + -7y = -12 + 0 5 + -7y = -12 Add '-5' to each side of the equation. 5 + -5 + -7y = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = -12 + -5 -7y = -12 + -5 Combine like terms: -12 + -5 = -17 -7y = -17 Divide each side by '-7'. y = 2.428571429 Simplifying y = 2.428571429
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