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Simplifying -6y + 32 = 4(y + -2) Reorder the terms: 32 + -6y = 4(y + -2) Reorder the terms: 32 + -6y = 4(-2 + y) 32 + -6y = (-2 * 4 + y * 4) 32 + -6y = (-8 + 4y) Solving 32 + -6y = -8 + 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. 32 + -6y + -4y = -8 + 4y + -4y Combine like terms: -6y + -4y = -10y 32 + -10y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + -10y = -8 + 0 32 + -10y = -8 Add '-32' to each side of the equation. 32 + -32 + -10y = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -10y = -8 + -32 -10y = -8 + -32 Combine like terms: -8 + -32 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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