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Simplifying -2(y + 2) = 3y + -7 + 2(2y + 3) Reorder the terms: -2(2 + y) = 3y + -7 + 2(2y + 3) (2 * -2 + y * -2) = 3y + -7 + 2(2y + 3) (-4 + -2y) = 3y + -7 + 2(2y + 3) Reorder the terms: -4 + -2y = 3y + -7 + 2(3 + 2y) -4 + -2y = 3y + -7 + (3 * 2 + 2y * 2) -4 + -2y = 3y + -7 + (6 + 4y) Reorder the terms: -4 + -2y = -7 + 6 + 3y + 4y Combine like terms: -7 + 6 = -1 -4 + -2y = -1 + 3y + 4y Combine like terms: 3y + 4y = 7y -4 + -2y = -1 + 7y Solving -4 + -2y = -1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -4 + -2y + -7y = -1 + 7y + -7y Combine like terms: -2y + -7y = -9y -4 + -9y = -1 + 7y + -7y Combine like terms: 7y + -7y = 0 -4 + -9y = -1 + 0 -4 + -9y = -1 Add '4' to each side of the equation. -4 + 4 + -9y = -1 + 4 Combine like terms: -4 + 4 = 0 0 + -9y = -1 + 4 -9y = -1 + 4 Combine like terms: -1 + 4 = 3 -9y = 3 Divide each side by '-9'. y = -0.3333333333 Simplifying y = -0.3333333333
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