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Simplifying 8(-5y + -27) + -2y = 78 Reorder the terms: 8(-27 + -5y) + -2y = 78 (-27 * 8 + -5y * 8) + -2y = 78 (-216 + -40y) + -2y = 78 Combine like terms: -40y + -2y = -42y -216 + -42y = 78 Solving -216 + -42y = 78 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 216 + -42y = 78 + 216 Combine like terms: -216 + 216 = 0 0 + -42y = 78 + 216 -42y = 78 + 216 Combine like terms: 78 + 216 = 294 -42y = 294 Divide each side by '-42'. y = -7 Simplifying y = -7
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