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Simplifying -59 + 15y + 6 = 4(5y + -5) + -3 Reorder the terms: -59 + 6 + 15y = 4(5y + -5) + -3 Combine like terms: -59 + 6 = -53 -53 + 15y = 4(5y + -5) + -3 Reorder the terms: -53 + 15y = 4(-5 + 5y) + -3 -53 + 15y = (-5 * 4 + 5y * 4) + -3 -53 + 15y = (-20 + 20y) + -3 Reorder the terms: -53 + 15y = -20 + -3 + 20y Combine like terms: -20 + -3 = -23 -53 + 15y = -23 + 20y Solving -53 + 15y = -23 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -53 + 15y + -20y = -23 + 20y + -20y Combine like terms: 15y + -20y = -5y -53 + -5y = -23 + 20y + -20y Combine like terms: 20y + -20y = 0 -53 + -5y = -23 + 0 -53 + -5y = -23 Add '53' to each side of the equation. -53 + 53 + -5y = -23 + 53 Combine like terms: -53 + 53 = 0 0 + -5y = -23 + 53 -5y = -23 + 53 Combine like terms: -23 + 53 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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