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Simplifying (6y + 5) + -5(3y + 2) = 2(2y + -9) Reorder the terms: (5 + 6y) + -5(3y + 2) = 2(2y + -9) Remove parenthesis around (5 + 6y) 5 + 6y + -5(3y + 2) = 2(2y + -9) Reorder the terms: 5 + 6y + -5(2 + 3y) = 2(2y + -9) 5 + 6y + (2 * -5 + 3y * -5) = 2(2y + -9) 5 + 6y + (-10 + -15y) = 2(2y + -9) Reorder the terms: 5 + -10 + 6y + -15y = 2(2y + -9) Combine like terms: 5 + -10 = -5 -5 + 6y + -15y = 2(2y + -9) Combine like terms: 6y + -15y = -9y -5 + -9y = 2(2y + -9) Reorder the terms: -5 + -9y = 2(-9 + 2y) -5 + -9y = (-9 * 2 + 2y * 2) -5 + -9y = (-18 + 4y) Solving -5 + -9y = -18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -5 + -9y + -4y = -18 + 4y + -4y Combine like terms: -9y + -4y = -13y -5 + -13y = -18 + 4y + -4y Combine like terms: 4y + -4y = 0 -5 + -13y = -18 + 0 -5 + -13y = -18 Add '5' to each side of the equation. -5 + 5 + -13y = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -13y = -18 + 5 -13y = -18 + 5 Combine like terms: -18 + 5 = -13 -13y = -13 Divide each side by '-13'. y = 1 Simplifying y = 1
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