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Simplifying -1[4] * y + 7 = -1[10] * y + 37 Multiply -1 * 4 -4y + 7 = -1[10] * y + 37 Reorder the terms: 7 + -4y = -1[10] * y + 37 Multiply -1 * 10 7 + -4y = -10y + 37 Reorder the terms: 7 + -4y = 37 + -10y Solving 7 + -4y = 37 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 7 + -4y + 10y = 37 + -10y + 10y Combine like terms: -4y + 10y = 6y 7 + 6y = 37 + -10y + 10y Combine like terms: -10y + 10y = 0 7 + 6y = 37 + 0 7 + 6y = 37 Add '-7' to each side of the equation. 7 + -7 + 6y = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 37 + -7 6y = 37 + -7 Combine like terms: 37 + -7 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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