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Simplifying -2 = 8(y + -4) + 7y Reorder the terms: -2 = 8(-4 + y) + 7y -2 = (-4 * 8 + y * 8) + 7y -2 = (-32 + 8y) + 7y Combine like terms: 8y + 7y = 15y -2 = -32 + 15y Solving -2 = -32 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -2 + -15y = -32 + 15y + -15y Combine like terms: 15y + -15y = 0 -2 + -15y = -32 + 0 -2 + -15y = -32 Add '2' to each side of the equation. -2 + 2 + -15y = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -15y = -32 + 2 -15y = -32 + 2 Combine like terms: -32 + 2 = -30 -15y = -30 Divide each side by '-15'. y = 2 Simplifying y = 2
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