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Simplifying -44 + 15y + 2 = 5(4y + -3) + -7 Reorder the terms: -44 + 2 + 15y = 5(4y + -3) + -7 Combine like terms: -44 + 2 = -42 -42 + 15y = 5(4y + -3) + -7 Reorder the terms: -42 + 15y = 5(-3 + 4y) + -7 -42 + 15y = (-3 * 5 + 4y * 5) + -7 -42 + 15y = (-15 + 20y) + -7 Reorder the terms: -42 + 15y = -15 + -7 + 20y Combine like terms: -15 + -7 = -22 -42 + 15y = -22 + 20y Solving -42 + 15y = -22 + 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. -42 + 15y + -20y = -22 + 20y + -20y Combine like terms: 15y + -20y = -5y -42 + -5y = -22 + 20y + -20y Combine like terms: 20y + -20y = 0 -42 + -5y = -22 + 0 -42 + -5y = -22 Add '42' to each side of the equation. -42 + 42 + -5y = -22 + 42 Combine like terms: -42 + 42 = 0 0 + -5y = -22 + 42 -5y = -22 + 42 Combine like terms: -22 + 42 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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