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Simplifying (5y + 2) + (3y + 5) = (10y + -1) Reorder the terms: (2 + 5y) + (3y + 5) = (10y + -1) Remove parenthesis around (2 + 5y) 2 + 5y + (3y + 5) = (10y + -1) Reorder the terms: 2 + 5y + (5 + 3y) = (10y + -1) Remove parenthesis around (5 + 3y) 2 + 5y + 5 + 3y = (10y + -1) Reorder the terms: 2 + 5 + 5y + 3y = (10y + -1) Combine like terms: 2 + 5 = 7 7 + 5y + 3y = (10y + -1) Combine like terms: 5y + 3y = 8y 7 + 8y = (10y + -1) Reorder the terms: 7 + 8y = (-1 + 10y) Remove parenthesis around (-1 + 10y) 7 + 8y = -1 + 10y Solving 7 + 8y = -1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 7 + 8y + -10y = -1 + 10y + -10y Combine like terms: 8y + -10y = -2y 7 + -2y = -1 + 10y + -10y Combine like terms: 10y + -10y = 0 7 + -2y = -1 + 0 7 + -2y = -1 Add '-7' to each side of the equation. 7 + -7 + -2y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = -1 + -7 -2y = -1 + -7 Combine like terms: -1 + -7 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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