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Simplifying -2(2y + -3) + 2y = 8 + 2(3y + -4) Reorder the terms: -2(-3 + 2y) + 2y = 8 + 2(3y + -4) (-3 * -2 + 2y * -2) + 2y = 8 + 2(3y + -4) (6 + -4y) + 2y = 8 + 2(3y + -4) Combine like terms: -4y + 2y = -2y 6 + -2y = 8 + 2(3y + -4) Reorder the terms: 6 + -2y = 8 + 2(-4 + 3y) 6 + -2y = 8 + (-4 * 2 + 3y * 2) 6 + -2y = 8 + (-8 + 6y) Combine like terms: 8 + -8 = 0 6 + -2y = 0 + 6y 6 + -2y = 6y Solving 6 + -2y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 6 + -2y + -6y = 6y + -6y Combine like terms: -2y + -6y = -8y 6 + -8y = 6y + -6y Combine like terms: 6y + -6y = 0 6 + -8y = 0 Add '-6' to each side of the equation. 6 + -6 + -8y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8y = 0 + -6 -8y = 0 + -6 Combine like terms: 0 + -6 = -6 -8y = -6 Divide each side by '-8'. y = 0.75 Simplifying y = 0.75
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