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Simplifying 2y + 3(y + -6) = 7y + -4(y + -10) Reorder the terms: 2y + 3(-6 + y) = 7y + -4(y + -10) 2y + (-6 * 3 + y * 3) = 7y + -4(y + -10) 2y + (-18 + 3y) = 7y + -4(y + -10) Reorder the terms: -18 + 2y + 3y = 7y + -4(y + -10) Combine like terms: 2y + 3y = 5y -18 + 5y = 7y + -4(y + -10) Reorder the terms: -18 + 5y = 7y + -4(-10 + y) -18 + 5y = 7y + (-10 * -4 + y * -4) -18 + 5y = 7y + (40 + -4y) Reorder the terms: -18 + 5y = 40 + 7y + -4y Combine like terms: 7y + -4y = 3y -18 + 5y = 40 + 3y Solving -18 + 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. -18 + 5y + -3y = 40 + 3y + -3y Combine like terms: 5y + -3y = 2y -18 + 2y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 2y = 40 + 0 -18 + 2y = 40 Add '18' to each side of the equation. -18 + 18 + 2y = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 2y = 40 + 18 2y = 40 + 18 Combine like terms: 40 + 18 = 58 2y = 58 Divide each side by '2'. y = 29 Simplifying y = 29
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