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Simplifying (6y + -5) + -1(5y + 4) = 2y + 3 Reorder the terms: (-5 + 6y) + -1(5y + 4) = 2y + 3 Remove parenthesis around (-5 + 6y) -5 + 6y + -1(5y + 4) = 2y + 3 Reorder the terms: -5 + 6y + -1(4 + 5y) = 2y + 3 -5 + 6y + (4 * -1 + 5y * -1) = 2y + 3 -5 + 6y + (-4 + -5y) = 2y + 3 Reorder the terms: -5 + -4 + 6y + -5y = 2y + 3 Combine like terms: -5 + -4 = -9 -9 + 6y + -5y = 2y + 3 Combine like terms: 6y + -5y = 1y -9 + 1y = 2y + 3 Reorder the terms: -9 + 1y = 3 + 2y Solving -9 + 1y = 3 + 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. -9 + 1y + -2y = 3 + 2y + -2y Combine like terms: 1y + -2y = -1y -9 + -1y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + -1y = 3 + 0 -9 + -1y = 3 Add '9' to each side of the equation. -9 + 9 + -1y = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 3 + 9 -1y = 3 + 9 Combine like terms: 3 + 9 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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