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Simplifying 5y + -32 = 2(y + -4) Reorder the terms: -32 + 5y = 2(y + -4) Reorder the terms: -32 + 5y = 2(-4 + y) -32 + 5y = (-4 * 2 + y * 2) -32 + 5y = (-8 + 2y) Solving -32 + 5y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -32 + 5y + -2y = -8 + 2y + -2y Combine like terms: 5y + -2y = 3y -32 + 3y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 -32 + 3y = -8 + 0 -32 + 3y = -8 Add '32' to each side of the equation. -32 + 32 + 3y = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 3y = -8 + 32 3y = -8 + 32 Combine like terms: -8 + 32 = 24 3y = 24 Divide each side by '3'. y = 8 Simplifying y = 8
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