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Simplifying -10y + 18 = 3(5y + -7) + -8 Reorder the terms: 18 + -10y = 3(5y + -7) + -8 Reorder the terms: 18 + -10y = 3(-7 + 5y) + -8 18 + -10y = (-7 * 3 + 5y * 3) + -8 18 + -10y = (-21 + 15y) + -8 Reorder the terms: 18 + -10y = -21 + -8 + 15y Combine like terms: -21 + -8 = -29 18 + -10y = -29 + 15y Solving 18 + -10y = -29 + 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. 18 + -10y + -15y = -29 + 15y + -15y Combine like terms: -10y + -15y = -25y 18 + -25y = -29 + 15y + -15y Combine like terms: 15y + -15y = 0 18 + -25y = -29 + 0 18 + -25y = -29 Add '-18' to each side of the equation. 18 + -18 + -25y = -29 + -18 Combine like terms: 18 + -18 = 0 0 + -25y = -29 + -18 -25y = -29 + -18 Combine like terms: -29 + -18 = -47 -25y = -47 Divide each side by '-25'. y = 1.88 Simplifying y = 1.88
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