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Simplifying -6y + 32 = 4(4y + -3) Reorder the terms: 32 + -6y = 4(4y + -3) Reorder the terms: 32 + -6y = 4(-3 + 4y) 32 + -6y = (-3 * 4 + 4y * 4) 32 + -6y = (-12 + 16y) Solving 32 + -6y = -12 + 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. 32 + -6y + -16y = -12 + 16y + -16y Combine like terms: -6y + -16y = -22y 32 + -22y = -12 + 16y + -16y Combine like terms: 16y + -16y = 0 32 + -22y = -12 + 0 32 + -22y = -12 Add '-32' to each side of the equation. 32 + -32 + -22y = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -22y = -12 + -32 -22y = -12 + -32 Combine like terms: -12 + -32 = -44 -22y = -44 Divide each side by '-22'. y = 2 Simplifying y = 2
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