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Simplifying 3y + 2(y + -6) = 7y + -4(y + -10) Reorder the terms: 3y + 2(-6 + y) = 7y + -4(y + -10) 3y + (-6 * 2 + y * 2) = 7y + -4(y + -10) 3y + (-12 + 2y) = 7y + -4(y + -10) Reorder the terms: -12 + 3y + 2y = 7y + -4(y + -10) Combine like terms: 3y + 2y = 5y -12 + 5y = 7y + -4(y + -10) Reorder the terms: -12 + 5y = 7y + -4(-10 + y) -12 + 5y = 7y + (-10 * -4 + y * -4) -12 + 5y = 7y + (40 + -4y) Reorder the terms: -12 + 5y = 40 + 7y + -4y Combine like terms: 7y + -4y = 3y -12 + 5y = 40 + 3y Solving -12 + 5y = 40 + 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 = 40 + 3y + -3y Combine like terms: 5y + -3y = 2y -12 + 2y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 2y = 40 + 0 -12 + 2y = 40 Add '12' to each side of the equation. -12 + 12 + 2y = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 40 + 12 2y = 40 + 12 Combine like terms: 40 + 12 = 52 2y = 52 Divide each side by '2'. y = 26 Simplifying y = 26
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