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Simplifying 7y + -3 + -3(2y + 6) = 5y + -1(3y + 10) Reorder the terms: 7y + -3 + -3(6 + 2y) = 5y + -1(3y + 10) 7y + -3 + (6 * -3 + 2y * -3) = 5y + -1(3y + 10) 7y + -3 + (-18 + -6y) = 5y + -1(3y + 10) Reorder the terms: -3 + -18 + 7y + -6y = 5y + -1(3y + 10) Combine like terms: -3 + -18 = -21 -21 + 7y + -6y = 5y + -1(3y + 10) Combine like terms: 7y + -6y = 1y -21 + 1y = 5y + -1(3y + 10) Reorder the terms: -21 + 1y = 5y + -1(10 + 3y) -21 + 1y = 5y + (10 * -1 + 3y * -1) -21 + 1y = 5y + (-10 + -3y) Reorder the terms: -21 + 1y = -10 + 5y + -3y Combine like terms: 5y + -3y = 2y -21 + 1y = -10 + 2y Solving -21 + 1y = -10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -21 + 1y + -2y = -10 + 2y + -2y Combine like terms: 1y + -2y = -1y -21 + -1y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + -1y = -10 + 0 -21 + -1y = -10 Add '21' to each side of the equation. -21 + 21 + -1y = -10 + 21 Combine like terms: -21 + 21 = 0 0 + -1y = -10 + 21 -1y = -10 + 21 Combine like terms: -10 + 21 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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