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Simplifying 4(4y + -4) + -7 = 2(2y + 4) + 17 Reorder the terms: 4(-4 + 4y) + -7 = 2(2y + 4) + 17 (-4 * 4 + 4y * 4) + -7 = 2(2y + 4) + 17 (-16 + 16y) + -7 = 2(2y + 4) + 17 Reorder the terms: -16 + -7 + 16y = 2(2y + 4) + 17 Combine like terms: -16 + -7 = -23 -23 + 16y = 2(2y + 4) + 17 Reorder the terms: -23 + 16y = 2(4 + 2y) + 17 -23 + 16y = (4 * 2 + 2y * 2) + 17 -23 + 16y = (8 + 4y) + 17 Reorder the terms: -23 + 16y = 8 + 17 + 4y Combine like terms: 8 + 17 = 25 -23 + 16y = 25 + 4y Solving -23 + 16y = 25 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -23 + 16y + -4y = 25 + 4y + -4y Combine like terms: 16y + -4y = 12y -23 + 12y = 25 + 4y + -4y Combine like terms: 4y + -4y = 0 -23 + 12y = 25 + 0 -23 + 12y = 25 Add '23' to each side of the equation. -23 + 23 + 12y = 25 + 23 Combine like terms: -23 + 23 = 0 0 + 12y = 25 + 23 12y = 25 + 23 Combine like terms: 25 + 23 = 48 12y = 48 Divide each side by '12'. y = 4 Simplifying y = 4
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