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Simplifying 10y + -7 = 30 + 2y + 3 Reorder the terms: -7 + 10y = 30 + 2y + 3 Reorder the terms: -7 + 10y = 30 + 3 + 2y Combine like terms: 30 + 3 = 33 -7 + 10y = 33 + 2y Solving -7 + 10y = 33 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -7 + 10y + -2y = 33 + 2y + -2y Combine like terms: 10y + -2y = 8y -7 + 8y = 33 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 8y = 33 + 0 -7 + 8y = 33 Add '7' to each side of the equation. -7 + 7 + 8y = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 8y = 33 + 7 8y = 33 + 7 Combine like terms: 33 + 7 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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