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Simplifying 2(9y + -7) = 4(3y + 2) + -4 Reorder the terms: 2(-7 + 9y) = 4(3y + 2) + -4 (-7 * 2 + 9y * 2) = 4(3y + 2) + -4 (-14 + 18y) = 4(3y + 2) + -4 Reorder the terms: -14 + 18y = 4(2 + 3y) + -4 -14 + 18y = (2 * 4 + 3y * 4) + -4 -14 + 18y = (8 + 12y) + -4 Reorder the terms: -14 + 18y = 8 + -4 + 12y Combine like terms: 8 + -4 = 4 -14 + 18y = 4 + 12y Solving -14 + 18y = 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. -14 + 18y + -12y = 4 + 12y + -12y Combine like terms: 18y + -12y = 6y -14 + 6y = 4 + 12y + -12y Combine like terms: 12y + -12y = 0 -14 + 6y = 4 + 0 -14 + 6y = 4 Add '14' to each side of the equation. -14 + 14 + 6y = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6y = 4 + 14 6y = 4 + 14 Combine like terms: 4 + 14 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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