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Simplifying -53 + 9y + 6 = 3(5y + -2) + -5 Reorder the terms: -53 + 6 + 9y = 3(5y + -2) + -5 Combine like terms: -53 + 6 = -47 -47 + 9y = 3(5y + -2) + -5 Reorder the terms: -47 + 9y = 3(-2 + 5y) + -5 -47 + 9y = (-2 * 3 + 5y * 3) + -5 -47 + 9y = (-6 + 15y) + -5 Reorder the terms: -47 + 9y = -6 + -5 + 15y Combine like terms: -6 + -5 = -11 -47 + 9y = -11 + 15y Solving -47 + 9y = -11 + 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. -47 + 9y + -15y = -11 + 15y + -15y Combine like terms: 9y + -15y = -6y -47 + -6y = -11 + 15y + -15y Combine like terms: 15y + -15y = 0 -47 + -6y = -11 + 0 -47 + -6y = -11 Add '47' to each side of the equation. -47 + 47 + -6y = -11 + 47 Combine like terms: -47 + 47 = 0 0 + -6y = -11 + 47 -6y = -11 + 47 Combine like terms: -11 + 47 = 36 -6y = 36 Divide each side by '-6'. y = -6 Simplifying y = -6
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