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Simplifying 2(4y + -2) + 9 = 4(3y + 2) + 7 Reorder the terms: 2(-2 + 4y) + 9 = 4(3y + 2) + 7 (-2 * 2 + 4y * 2) + 9 = 4(3y + 2) + 7 (-4 + 8y) + 9 = 4(3y + 2) + 7 Reorder the terms: -4 + 9 + 8y = 4(3y + 2) + 7 Combine like terms: -4 + 9 = 5 5 + 8y = 4(3y + 2) + 7 Reorder the terms: 5 + 8y = 4(2 + 3y) + 7 5 + 8y = (2 * 4 + 3y * 4) + 7 5 + 8y = (8 + 12y) + 7 Reorder the terms: 5 + 8y = 8 + 7 + 12y Combine like terms: 8 + 7 = 15 5 + 8y = 15 + 12y Solving 5 + 8y = 15 + 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. 5 + 8y + -12y = 15 + 12y + -12y Combine like terms: 8y + -12y = -4y 5 + -4y = 15 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + -4y = 15 + 0 5 + -4y = 15 Add '-5' to each side of the equation. 5 + -5 + -4y = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 15 + -5 -4y = 15 + -5 Combine like terms: 15 + -5 = 10 -4y = 10 Divide each side by '-4'. y = -2.5 Simplifying y = -2.5
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