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Simplifying -40 + 10y + 4 = 3(5y + -3) + -7 Reorder the terms: -40 + 4 + 10y = 3(5y + -3) + -7 Combine like terms: -40 + 4 = -36 -36 + 10y = 3(5y + -3) + -7 Reorder the terms: -36 + 10y = 3(-3 + 5y) + -7 -36 + 10y = (-3 * 3 + 5y * 3) + -7 -36 + 10y = (-9 + 15y) + -7 Reorder the terms: -36 + 10y = -9 + -7 + 15y Combine like terms: -9 + -7 = -16 -36 + 10y = -16 + 15y Solving -36 + 10y = -16 + 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. -36 + 10y + -15y = -16 + 15y + -15y Combine like terms: 10y + -15y = -5y -36 + -5y = -16 + 15y + -15y Combine like terms: 15y + -15y = 0 -36 + -5y = -16 + 0 -36 + -5y = -16 Add '36' to each side of the equation. -36 + 36 + -5y = -16 + 36 Combine like terms: -36 + 36 = 0 0 + -5y = -16 + 36 -5y = -16 + 36 Combine like terms: -16 + 36 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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