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Simplifying 5y + -30y + 10 = -52 + 2y + -4y Reorder the terms: 10 + 5y + -30y = -52 + 2y + -4y Combine like terms: 5y + -30y = -25y 10 + -25y = -52 + 2y + -4y Combine like terms: 2y + -4y = -2y 10 + -25y = -52 + -2y Solving 10 + -25y = -52 + -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. 10 + -25y + 2y = -52 + -2y + 2y Combine like terms: -25y + 2y = -23y 10 + -23y = -52 + -2y + 2y Combine like terms: -2y + 2y = 0 10 + -23y = -52 + 0 10 + -23y = -52 Add '-10' to each side of the equation. 10 + -10 + -23y = -52 + -10 Combine like terms: 10 + -10 = 0 0 + -23y = -52 + -10 -23y = -52 + -10 Combine like terms: -52 + -10 = -62 -23y = -62 Divide each side by '-23'. y = 2.695652174 Simplifying y = 2.695652174
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