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Simplifying -3y + 8 = 2(2y + -3) Reorder the terms: 8 + -3y = 2(2y + -3) Reorder the terms: 8 + -3y = 2(-3 + 2y) 8 + -3y = (-3 * 2 + 2y * 2) 8 + -3y = (-6 + 4y) Solving 8 + -3y = -6 + 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. 8 + -3y + -4y = -6 + 4y + -4y Combine like terms: -3y + -4y = -7y 8 + -7y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -7y = -6 + 0 8 + -7y = -6 Add '-8' to each side of the equation. 8 + -8 + -7y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7y = -6 + -8 -7y = -6 + -8 Combine like terms: -6 + -8 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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