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Simplifying -43 + 12y + 2 = 4(4y + -4) + -9 Reorder the terms: -43 + 2 + 12y = 4(4y + -4) + -9 Combine like terms: -43 + 2 = -41 -41 + 12y = 4(4y + -4) + -9 Reorder the terms: -41 + 12y = 4(-4 + 4y) + -9 -41 + 12y = (-4 * 4 + 4y * 4) + -9 -41 + 12y = (-16 + 16y) + -9 Reorder the terms: -41 + 12y = -16 + -9 + 16y Combine like terms: -16 + -9 = -25 -41 + 12y = -25 + 16y Solving -41 + 12y = -25 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -41 + 12y + -16y = -25 + 16y + -16y Combine like terms: 12y + -16y = -4y -41 + -4y = -25 + 16y + -16y Combine like terms: 16y + -16y = 0 -41 + -4y = -25 + 0 -41 + -4y = -25 Add '41' to each side of the equation. -41 + 41 + -4y = -25 + 41 Combine like terms: -41 + 41 = 0 0 + -4y = -25 + 41 -4y = -25 + 41 Combine like terms: -25 + 41 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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