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Simplifying 5(y + -2) + 2(2y) + 7 = 2(3y + 5) Reorder the terms: 5(-2 + y) + 2(2y) + 7 = 2(3y + 5) (-2 * 5 + y * 5) + 2(2y) + 7 = 2(3y + 5) (-10 + 5y) + 2(2y) + 7 = 2(3y + 5) Remove parenthesis around (2y) -10 + 5y + 2 * 2y + 7 = 2(3y + 5) Multiply 2 * 2 -10 + 5y + 4y + 7 = 2(3y + 5) Reorder the terms: -10 + 7 + 5y + 4y = 2(3y + 5) Combine like terms: -10 + 7 = -3 -3 + 5y + 4y = 2(3y + 5) Combine like terms: 5y + 4y = 9y -3 + 9y = 2(3y + 5) Reorder the terms: -3 + 9y = 2(5 + 3y) -3 + 9y = (5 * 2 + 3y * 2) -3 + 9y = (10 + 6y) Solving -3 + 9y = 10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -3 + 9y + -6y = 10 + 6y + -6y Combine like terms: 9y + -6y = 3y -3 + 3y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + 3y = 10 + 0 -3 + 3y = 10 Add '3' to each side of the equation. -3 + 3 + 3y = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 10 + 3 3y = 10 + 3 Combine like terms: 10 + 3 = 13 3y = 13 Divide each side by '3'. y = 4.333333333 Simplifying y = 4.333333333
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