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Simplifying 5y + 2(y + -6) = 8y + -3(y + -10) Reorder the terms: 5y + 2(-6 + y) = 8y + -3(y + -10) 5y + (-6 * 2 + y * 2) = 8y + -3(y + -10) 5y + (-12 + 2y) = 8y + -3(y + -10) Reorder the terms: -12 + 5y + 2y = 8y + -3(y + -10) Combine like terms: 5y + 2y = 7y -12 + 7y = 8y + -3(y + -10) Reorder the terms: -12 + 7y = 8y + -3(-10 + y) -12 + 7y = 8y + (-10 * -3 + y * -3) -12 + 7y = 8y + (30 + -3y) Reorder the terms: -12 + 7y = 30 + 8y + -3y Combine like terms: 8y + -3y = 5y -12 + 7y = 30 + 5y Solving -12 + 7y = 30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 7y + -5y = 30 + 5y + -5y Combine like terms: 7y + -5y = 2y -12 + 2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + 2y = 30 + 0 -12 + 2y = 30 Add '12' to each side of the equation. -12 + 12 + 2y = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 30 + 12 2y = 30 + 12 Combine like terms: 30 + 12 = 42 2y = 42 Divide each side by '2'. y = 21 Simplifying y = 21
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