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Simplifying -53 + 10y + 6 = 5(3y + -4) + -7 Reorder the terms: -53 + 6 + 10y = 5(3y + -4) + -7 Combine like terms: -53 + 6 = -47 -47 + 10y = 5(3y + -4) + -7 Reorder the terms: -47 + 10y = 5(-4 + 3y) + -7 -47 + 10y = (-4 * 5 + 3y * 5) + -7 -47 + 10y = (-20 + 15y) + -7 Reorder the terms: -47 + 10y = -20 + -7 + 15y Combine like terms: -20 + -7 = -27 -47 + 10y = -27 + 15y Solving -47 + 10y = -27 + 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 + 10y + -15y = -27 + 15y + -15y Combine like terms: 10y + -15y = -5y -47 + -5y = -27 + 15y + -15y Combine like terms: 15y + -15y = 0 -47 + -5y = -27 + 0 -47 + -5y = -27 Add '47' to each side of the equation. -47 + 47 + -5y = -27 + 47 Combine like terms: -47 + 47 = 0 0 + -5y = -27 + 47 -5y = -27 + 47 Combine like terms: -27 + 47 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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