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Simplifying 3y + 2(y + -6) = 5y + -2(y + -10) Reorder the terms: 3y + 2(-6 + y) = 5y + -2(y + -10) 3y + (-6 * 2 + y * 2) = 5y + -2(y + -10) 3y + (-12 + 2y) = 5y + -2(y + -10) Reorder the terms: -12 + 3y + 2y = 5y + -2(y + -10) Combine like terms: 3y + 2y = 5y -12 + 5y = 5y + -2(y + -10) Reorder the terms: -12 + 5y = 5y + -2(-10 + y) -12 + 5y = 5y + (-10 * -2 + y * -2) -12 + 5y = 5y + (20 + -2y) Reorder the terms: -12 + 5y = 20 + 5y + -2y Combine like terms: 5y + -2y = 3y -12 + 5y = 20 + 3y Solving -12 + 5y = 20 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 5y + -3y = 20 + 3y + -3y Combine like terms: 5y + -3y = 2y -12 + 2y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 2y = 20 + 0 -12 + 2y = 20 Add '12' to each side of the equation. -12 + 12 + 2y = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 20 + 12 2y = 20 + 12 Combine like terms: 20 + 12 = 32 2y = 32 Divide each side by '2'. y = 16 Simplifying y = 16
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