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Simplifying -51 + 4y + 9 = 2(5y + -5) + -8 Reorder the terms: -51 + 9 + 4y = 2(5y + -5) + -8 Combine like terms: -51 + 9 = -42 -42 + 4y = 2(5y + -5) + -8 Reorder the terms: -42 + 4y = 2(-5 + 5y) + -8 -42 + 4y = (-5 * 2 + 5y * 2) + -8 -42 + 4y = (-10 + 10y) + -8 Reorder the terms: -42 + 4y = -10 + -8 + 10y Combine like terms: -10 + -8 = -18 -42 + 4y = -18 + 10y Solving -42 + 4y = -18 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -42 + 4y + -10y = -18 + 10y + -10y Combine like terms: 4y + -10y = -6y -42 + -6y = -18 + 10y + -10y Combine like terms: 10y + -10y = 0 -42 + -6y = -18 + 0 -42 + -6y = -18 Add '42' to each side of the equation. -42 + 42 + -6y = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -6y = -18 + 42 -6y = -18 + 42 Combine like terms: -18 + 42 = 24 -6y = 24 Divide each side by '-6'. y = -4 Simplifying y = -4
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