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Simplifying -32 = 4y + 8(y + -2) Reorder the terms: -32 = 4y + 8(-2 + y) -32 = 4y + (-2 * 8 + y * 8) -32 = 4y + (-16 + 8y) Reorder the terms: -32 = -16 + 4y + 8y Combine like terms: 4y + 8y = 12y -32 = -16 + 12y Solving -32 = -16 + 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. -32 + -12y = -16 + 12y + -12y Combine like terms: 12y + -12y = 0 -32 + -12y = -16 + 0 -32 + -12y = -16 Add '32' to each side of the equation. -32 + 32 + -12y = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -12y = -16 + 32 -12y = -16 + 32 Combine like terms: -16 + 32 = 16 -12y = 16 Divide each side by '-12'. y = -1.333333333 Simplifying y = -1.333333333
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