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Simplifying -2(y + 2) = 7y + -1 + 3(2y + 5) Reorder the terms: -2(2 + y) = 7y + -1 + 3(2y + 5) (2 * -2 + y * -2) = 7y + -1 + 3(2y + 5) (-4 + -2y) = 7y + -1 + 3(2y + 5) Reorder the terms: -4 + -2y = 7y + -1 + 3(5 + 2y) -4 + -2y = 7y + -1 + (5 * 3 + 2y * 3) -4 + -2y = 7y + -1 + (15 + 6y) Reorder the terms: -4 + -2y = -1 + 15 + 7y + 6y Combine like terms: -1 + 15 = 14 -4 + -2y = 14 + 7y + 6y Combine like terms: 7y + 6y = 13y -4 + -2y = 14 + 13y Solving -4 + -2y = 14 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -4 + -2y + -13y = 14 + 13y + -13y Combine like terms: -2y + -13y = -15y -4 + -15y = 14 + 13y + -13y Combine like terms: 13y + -13y = 0 -4 + -15y = 14 + 0 -4 + -15y = 14 Add '4' to each side of the equation. -4 + 4 + -15y = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -15y = 14 + 4 -15y = 14 + 4 Combine like terms: 14 + 4 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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