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Simplifying -5y + -10 = -1 + -3(4y + -11) Reorder the terms: -10 + -5y = -1 + -3(4y + -11) Reorder the terms: -10 + -5y = -1 + -3(-11 + 4y) -10 + -5y = -1 + (-11 * -3 + 4y * -3) -10 + -5y = -1 + (33 + -12y) Combine like terms: -1 + 33 = 32 -10 + -5y = 32 + -12y Solving -10 + -5y = 32 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -10 + -5y + 12y = 32 + -12y + 12y Combine like terms: -5y + 12y = 7y -10 + 7y = 32 + -12y + 12y Combine like terms: -12y + 12y = 0 -10 + 7y = 32 + 0 -10 + 7y = 32 Add '10' to each side of the equation. -10 + 10 + 7y = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 32 + 10 7y = 32 + 10 Combine like terms: 32 + 10 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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