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Simplifying 3(y + 1) + -7 = 5y + 2(y + -10) Reorder the terms: 3(1 + y) + -7 = 5y + 2(y + -10) (1 * 3 + y * 3) + -7 = 5y + 2(y + -10) (3 + 3y) + -7 = 5y + 2(y + -10) Reorder the terms: 3 + -7 + 3y = 5y + 2(y + -10) Combine like terms: 3 + -7 = -4 -4 + 3y = 5y + 2(y + -10) Reorder the terms: -4 + 3y = 5y + 2(-10 + y) -4 + 3y = 5y + (-10 * 2 + y * 2) -4 + 3y = 5y + (-20 + 2y) Reorder the terms: -4 + 3y = -20 + 5y + 2y Combine like terms: 5y + 2y = 7y -4 + 3y = -20 + 7y Solving -4 + 3y = -20 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -4 + 3y + -7y = -20 + 7y + -7y Combine like terms: 3y + -7y = -4y -4 + -4y = -20 + 7y + -7y Combine like terms: 7y + -7y = 0 -4 + -4y = -20 + 0 -4 + -4y = -20 Add '4' to each side of the equation. -4 + 4 + -4y = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -4y = -20 + 4 -4y = -20 + 4 Combine like terms: -20 + 4 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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