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Simplifying 5y + -8y + 10 = 2(2y + -11) + 1 Reorder the terms: 10 + 5y + -8y = 2(2y + -11) + 1 Combine like terms: 5y + -8y = -3y 10 + -3y = 2(2y + -11) + 1 Reorder the terms: 10 + -3y = 2(-11 + 2y) + 1 10 + -3y = (-11 * 2 + 2y * 2) + 1 10 + -3y = (-22 + 4y) + 1 Reorder the terms: 10 + -3y = -22 + 1 + 4y Combine like terms: -22 + 1 = -21 10 + -3y = -21 + 4y Solving 10 + -3y = -21 + 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. 10 + -3y + -4y = -21 + 4y + -4y Combine like terms: -3y + -4y = -7y 10 + -7y = -21 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + -7y = -21 + 0 10 + -7y = -21 Add '-10' to each side of the equation. 10 + -10 + -7y = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -7y = -21 + -10 -7y = -21 + -10 Combine like terms: -21 + -10 = -31 -7y = -31 Divide each side by '-7'. y = 4.428571429 Simplifying y = 4.428571429
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