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Simplifying -2(2y + -4) + 7y = 5 + 3(4y + -3) Reorder the terms: -2(-4 + 2y) + 7y = 5 + 3(4y + -3) (-4 * -2 + 2y * -2) + 7y = 5 + 3(4y + -3) (8 + -4y) + 7y = 5 + 3(4y + -3) Combine like terms: -4y + 7y = 3y 8 + 3y = 5 + 3(4y + -3) Reorder the terms: 8 + 3y = 5 + 3(-3 + 4y) 8 + 3y = 5 + (-3 * 3 + 4y * 3) 8 + 3y = 5 + (-9 + 12y) Combine like terms: 5 + -9 = -4 8 + 3y = -4 + 12y Solving 8 + 3y = -4 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 8 + 3y + -12y = -4 + 12y + -12y Combine like terms: 3y + -12y = -9y 8 + -9y = -4 + 12y + -12y Combine like terms: 12y + -12y = 0 8 + -9y = -4 + 0 8 + -9y = -4 Add '-8' to each side of the equation. 8 + -8 + -9y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = -4 + -8 -9y = -4 + -8 Combine like terms: -4 + -8 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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