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Simplifying 4y + -8 + -2y + 1 = 10y + -10 + -23 Reorder the terms: -8 + 1 + 4y + -2y = 10y + -10 + -23 Combine like terms: -8 + 1 = -7 -7 + 4y + -2y = 10y + -10 + -23 Combine like terms: 4y + -2y = 2y -7 + 2y = 10y + -10 + -23 Reorder the terms: -7 + 2y = -10 + -23 + 10y Combine like terms: -10 + -23 = -33 -7 + 2y = -33 + 10y Solving -7 + 2y = -33 + 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 + 2y + -10y = -33 + 10y + -10y Combine like terms: 2y + -10y = -8y -7 + -8y = -33 + 10y + -10y Combine like terms: 10y + -10y = 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 = -26 -8y = -26 Divide each side by '-8'. y = 3.25 Simplifying y = 3.25
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