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Simplifying -55 + 4y + 2 = 2(5y + -5) + -7 Reorder the terms: -55 + 2 + 4y = 2(5y + -5) + -7 Combine like terms: -55 + 2 = -53 -53 + 4y = 2(5y + -5) + -7 Reorder the terms: -53 + 4y = 2(-5 + 5y) + -7 -53 + 4y = (-5 * 2 + 5y * 2) + -7 -53 + 4y = (-10 + 10y) + -7 Reorder the terms: -53 + 4y = -10 + -7 + 10y Combine like terms: -10 + -7 = -17 -53 + 4y = -17 + 10y Solving -53 + 4y = -17 + 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. -53 + 4y + -10y = -17 + 10y + -10y Combine like terms: 4y + -10y = -6y -53 + -6y = -17 + 10y + -10y Combine like terms: 10y + -10y = 0 -53 + -6y = -17 + 0 -53 + -6y = -17 Add '53' to each side of the equation. -53 + 53 + -6y = -17 + 53 Combine like terms: -53 + 53 = 0 0 + -6y = -17 + 53 -6y = -17 + 53 Combine like terms: -17 + 53 = 36 -6y = 36 Divide each side by '-6'. y = -6 Simplifying y = -6
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